Pith Number

pith:DZKQDPRY

pith:1999:DZKQDPRY7FFQF27ENEPX37PC3K

not attested not anchored not stored refs pending

Homotopy field theory in dimension 2 and group-algebras

Vladimir Turaev

arxiv:math/9910010 v1 · 1999-10-04 · math.QA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZKQDPRY7FFQF27ENEPX37PC3K}

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

2D HQFTs and Frobenius $(\mathcal{G},\mathcal{V})$-categories

Receipt and verification

First computed	2026-07-04T14:41:19.837377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e5501be38f94b02ebe4691f7dfde2da8a642da9dcdbdd5f64b712faff6e7dd5

Aliases

arxiv: math/9910010 · arxiv_version: math/9910010v1 · doi: 10.48550/arxiv.math/9910010 · pith_short_12: DZKQDPRY7FFQ · pith_short_16: DZKQDPRY7FFQF27E · pith_short_8: DZKQDPRY

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/DZKQDPRY7FFQF27ENEPX37PC3K \
  | 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: 1e5501be38f94b02ebe4691f7dfde2da8a642da9dcdbdd5f64b712faff6e7dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d2f1531c72f5efcd0e1f8e3d9d08ff749c9de109ee9fcd2038fd1fc355a46d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-10-04T12:34:51Z",
    "title_canon_sha256": "f4c0063e31b5aa7677bc618be2d4e9cf53e4dae8b0fc03e2ad9cc422c8ae73a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910010",
    "kind": "arxiv",
    "version": 1
  }
}