Pith Number

pith:JVYZK2PH

pith:2000:JVYZK2PHRXTKE364ZSMOB7YYR6

not attested not anchored not stored refs pending

Ray Singer Analytic Torsion of Calabi Yau manifolds I

Andrey Todorov

arxiv:math/0004045 v2 · 2000-04-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVYZK2PHRXTKE364ZSMOB7YYR6}

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

1 paper in Pith

Categorified structures over moduli spaces: Anomalies, non-invertible symmetries, and exceptional holonomy

Receipt and verification

First computed	2026-07-04T14:34:27.128348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d719569e78de6a26fdccc98e0ff188f83b2b09b4866d2d02c0759c5147b7b91

Aliases

arxiv: math/0004045 · arxiv_version: math/0004045v2 · doi: 10.48550/arxiv.math/0004045 · pith_short_12: JVYZK2PHRXTK · pith_short_16: JVYZK2PHRXTKE364 · pith_short_8: JVYZK2PH

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/JVYZK2PHRXTKE364ZSMOB7YYR6 \
  | 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: 4d719569e78de6a26fdccc98e0ff188f83b2b09b4866d2d02c0759c5147b7b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011572ed6f0cf6b4d4de2d10c164fc653ae95062d8b5c1f68fd02fb77a4f7f34",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-04-07T23:44:50Z",
    "title_canon_sha256": "d48e6c3f8a7792a22f4b733405e5b1dde00e2a972b7389cb52ac8cec88e686bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004045",
    "kind": "arxiv",
    "version": 2
  }
}