Pith Number

pith:46YERTQ3

pith:2002:46YERTQ3Y76TWVCO3JRWAY75WH

not attested not anchored not stored refs pending

On Vafa's theorem for tensor categories

Pavel Etingof

arxiv:math/0207007 v1 · 2002-07-01 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46YERTQ3Y76TWVCO3JRWAY75WH}

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

Complex Conformal Manifolds

Receipt and verification

First computed	2026-07-04T14:36:18.032127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b048ce1bc7fd3b544eda636063fdb1d4bdca647639be03000ebb5f7630f9e9

Aliases

arxiv: math/0207007 · arxiv_version: math/0207007v1 · doi: 10.48550/arxiv.math/0207007 · pith_short_12: 46YERTQ3Y76T · pith_short_16: 46YERTQ3Y76TWVCO · pith_short_8: 46YERTQ3

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/46YERTQ3Y76TWVCO3JRWAY75WH \
  | 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: e7b048ce1bc7fd3b544eda636063fdb1d4bdca647639be03000ebb5f7630f9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd22a667c254d5638387aa119ab1c3e48ce2332a34f34470af4f1bf8e5f139cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-07-01T09:41:12Z",
    "title_canon_sha256": "76ef417183bf72db45d2e76864db2a11a9f60ce9dd4d16dae808b77369170a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207007",
    "kind": "arxiv",
    "version": 1
  }
}