Pith Number

pith:Y5VLR2CZ

pith:2009:Y5VLR2CZKP5BN5LA4BKIH3AUTE

not attested not anchored not stored refs pending

Twin TQFTs and Frobenius algebras

Carmen Caprau

arxiv:0901.2979 v3 · 2009-01-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5VLR2CZKP5BN5LA4BKIH3AUTE}

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	2026-05-18T02:19:36.690078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76ab8e85953fa16f560e05483ec149909f51cf4e854347edbaee8ea81947f47

Aliases

arxiv: 0901.2979 · arxiv_version: 0901.2979v3 · doi: 10.48550/arxiv.0901.2979 · pith_short_12: Y5VLR2CZKP5B · pith_short_16: Y5VLR2CZKP5BN5LA · pith_short_8: Y5VLR2CZ

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/Y5VLR2CZKP5BN5LA4BKIH3AUTE \
  | 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: c76ab8e85953fa16f560e05483ec149909f51cf4e854347edbaee8ea81947f47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c38de2c3596cb1d51e8c5ddb6018e30cf94660e6f8d4dde51a6e5e9059c17e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-01-20T04:39:22Z",
    "title_canon_sha256": "b4ddaaf9e420f057cf4e9422d989e8407272a042ee58a39c099a274650bd0a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2979",
    "kind": "arxiv",
    "version": 3
  }
}