Pith Number

pith:BPZ3NQMQ

pith:2002:BPZ3NQMQZAM3S6XTUOBTDANCYR

not attested not anchored not stored refs pending

Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary

Dmitri Vassilevich, Klaus Kirsten, Peter Gilkey

arxiv:math-ph/0211020 v2 · 2002-11-12 · math-ph · hep-th · 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{BPZ3NQMQZAM3S6XTUOBTDANCYR}

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	2026-05-18T01:38:33.995592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf3b6c190c819b97af3a3833181a2c4593fecdf39042cad12bad8e9b25ae07c

Aliases

arxiv: math-ph/0211020 · arxiv_version: math-ph/0211020v2 · doi: 10.48550/arxiv.math-ph/0211020 · pith_short_12: BPZ3NQMQZAM3 · pith_short_16: BPZ3NQMQZAM3S6XT · pith_short_8: BPZ3NQMQ

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/BPZ3NQMQZAM3S6XTUOBTDANCYR \
  | 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: 0bf3b6c190c819b97af3a3833181a2c4593fecdf39042cad12bad8e9b25ae07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550cd2023d932e8fb4f7a24341caae610927b1bba42f648ce9b1db9ad7229dd8",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-11-12T16:22:53Z",
    "title_canon_sha256": "10c7d5c6830bbb8666bda22fd7d74060200c3d01ca66310a058d0997ddb62951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0211020",
    "kind": "arxiv",
    "version": 2
  }
}