Pith Number

pith:FHDUPAOX

pith:2026:FHDUPAOX46O2MGGCSLTOFRMVY5

not attested not anchored not stored refs pending

Hodge Topology of Semiclassical Transport: A Coordinate-Free Geometric Framework for the Anomalous Hall Effect and Non-Linear Berry Dipole

Samuel L. Braunstein, Zhi-Wei Wang

arxiv:2606.31409 v1 · 2026-06-30 · cond-mat.mes-hall · cond-mat.mtrl-sci · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHDUPAOX46O2MGGCSLTOFRMVY5}

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.

Receipt and verification

First computed	2026-07-01T01:18:02.150608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29c74781d7e79da618c292e6e2c595c775f2443ae27a72b4e89f6bf27cdf63b1

Aliases

arxiv: 2606.31409 · arxiv_version: 2606.31409v1 · doi: 10.48550/arxiv.2606.31409 · pith_short_12: FHDUPAOX46O2 · pith_short_16: FHDUPAOX46O2MGGC · pith_short_8: FHDUPAOX

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/FHDUPAOX46O2MGGCSLTOFRMVY5 \
  | 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: 29c74781d7e79da618c292e6e2c595c775f2443ae27a72b4e89f6bf27cdf63b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b90bc2eacb895a79c691cd952ee18105f46407b8d1bffd6803d640a38e8528f0",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-06-30T09:36:04Z",
    "title_canon_sha256": "6fc9e76d2edc4629f3bd3bdd12eaa7f0163e47737b1ec9e1717e3d6b04062f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31409",
    "kind": "arxiv",
    "version": 1
  }
}