Pith Number

pith:PZ4REB24

pith:1993:PZ4REB24KSIEXBW3ZAK4CRK5LO

not attested not anchored not stored refs pending

The trace of the heat kernel on a compact hyperbolic 3-orbifold

Guido Cognola, Luciano Vanzo

arxiv:hep-th/9303028 v2 · 1993-03-04 · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZ4REB24KSIEXBW3ZAK4CRK5LO}

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	2026-05-18T04:37:43.611970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7912075c54904b86dbc815c1455d5b97624c1fb7da9eb27c9749c9b7b96ece

Aliases

arxiv: hep-th/9303028 · arxiv_version: hep-th/9303028v2 · doi: 10.48550/arxiv.hep-th/9303028 · pith_short_12: PZ4REB24KSIE · pith_short_16: PZ4REB24KSIEXBW3 · pith_short_8: PZ4REB24

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/PZ4REB24KSIEXBW3ZAK4CRK5LO \
  | 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: 7e7912075c54904b86dbc815c1455d5b97624c1fb7da9eb27c9749c9b7b96ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b859e11de2b47e2b069318d94cc3f29f7e2b8f1114632d6e5fc2ecc6af80a95",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-03-04T15:49:05Z",
    "title_canon_sha256": "027b005bb01a7100c9326ad417684205df7bb2e25707de9e8d2d132f03e08a68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9303028",
    "kind": "arxiv",
    "version": 2
  }
}