Pith Number

pith:PPBA64DY

pith:2022:PPBA64DYFUMJPWC47DMHVHBCAE

not attested not anchored not stored refs pending

Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory

Patrick Copinger, Shi Pu

arxiv:2203.00847 v2 · 2022-03-02 · hep-th · cond-mat.str-el · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPBA64DYFUMJPWC47DMHVHBCAE}

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	2026-07-05T04:34:51.187107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc20f70782d1897d85cf8d87a9c22011ec26f48b8f066bea566260f16424a25

Aliases

arxiv: 2203.00847 · arxiv_version: 2203.00847v2 · doi: 10.48550/arxiv.2203.00847 · pith_short_12: PPBA64DYFUMJ · pith_short_16: PPBA64DYFUMJPWC4 · pith_short_8: PPBA64DY

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/PPBA64DYFUMJPWC47DMHVHBCAE \
  | 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: 7bc20f70782d1897d85cf8d87a9c22011ec26f48b8f066bea566260f16424a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d93450caa6f5531c6a4556b913ceffb3262b52d7dd6dcc717113e2c34a7d60",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-03-02T03:45:46Z",
    "title_canon_sha256": "1ed16cfd172b8658233037dac4e7e88d4296c509caefd1f8fbe904f69e0b49e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.00847",
    "kind": "arxiv",
    "version": 2
  }
}