Pith Number

pith:B4QRC6QE

pith:2009:B4QRC6QECAVI53VPRRRV2ODLK3

not attested not anchored not stored refs pending

Abelian duality, walls and boundary conditions in diverse dimensions

Anton Kapustin, Mikhail Tikhonov

arxiv:0904.0840 v1 · 2009-04-06 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4QRC6QECAVI53VPRRRV2ODLK3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

8 papers in Pith

Notes on (-2)-form symmetries

$S$-duality, boundary states, and higher-form symmetries on ALE spaces

Revisiting boundary electromagnetic duality and edge modes

Non-Invertible Duality Defects in 3+1 Dimensions

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Receipt and verification

First computed	2026-07-04T17:14:35.740790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f21117a04102a8eeeaf8c635d386b56c3a0849d596aa07d438adbd16b6cf412

Aliases

arxiv: 0904.0840 · arxiv_version: 0904.0840v1 · doi: 10.48550/arxiv.0904.0840 · pith_short_12: B4QRC6QECAVI · pith_short_16: B4QRC6QECAVI53VP · pith_short_8: B4QRC6QE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B4QRC6QECAVI53VPRRRV2ODLK3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0f21117a04102a8eeeaf8c635d386b56c3a0849d596aa07d438adbd16b6cf412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efabfe60bd9edfcdf1dd9f6cb76ffae18564e929166a8294082bc729b9b06230",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-04-06T04:19:05Z",
    "title_canon_sha256": "4b39fa09a0aa50e4e667c4909ec765c5ef42059370495281c24a7f90406a9f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0840",
    "kind": "arxiv",
    "version": 1
  }
}