Pith. sign in
Pith Number

pith:APYRMNDW

pith:2021:APYRMNDWN2FXVTUPCRS22TNALG
not attested not anchored not stored refs pending

Fractons, dipole symmetries and curved spacetime

Emil Have, Jelle Hartong, J{\o}rgen Musaeus, Leo Bidussi, Stefan Prohazka

arxiv:2111.03668 v4 · 2021-11-05 · hep-th · cond-mat.stat-mech · cond-mat.str-el · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{APYRMNDWN2FXVTUPCRS22TNALG}

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

17 papers in Pith

Receipt and verification
First computed 2026-07-05T04:40:47.544461Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

03f11634766e8b7ace8f1465ad4da05984071b523641b29cd95a54addb24d8b6

Aliases

arxiv: 2111.03668 · arxiv_version: 2111.03668v4 · doi: 10.48550/arxiv.2111.03668 · pith_short_12: APYRMNDWN2FX · pith_short_16: APYRMNDWN2FXVTUP · pith_short_8: APYRMNDW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/APYRMNDWN2FXVTUPCRS22TNALG \
  | 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: 03f11634766e8b7ace8f1465ad4da05984071b523641b29cd95a54addb24d8b6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5cd2d0508ebc630b084b123984bf4421653aad0598564cff112da410921580ad",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-05T18:00:00Z",
    "title_canon_sha256": "9805303a0888bc324fe55ac50ae24ab5436f911f931a837ddd48068cafeae2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.03668",
    "kind": "arxiv",
    "version": 4
  }
}