Pith Number

pith:HNZZQDUV

pith:2012:HNZZQDUVP7RXS3VARF7XZKEKIF

not attested not anchored not stored refs pending

Marked fatgraph complexes and surface automorphisms

R. C. Penner, Vladimir Turaev, Yusuke Kuno

arxiv:1201.3808 v1 · 2012-01-18 · 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{HNZZQDUVP7RXS3VARF7XZKEKIF}

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	2026-05-18T04:04:17.955670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b73980e957fe3796ea0897f7ca88a414ff386fe6f4e531efc9fece479bd3b45

Aliases

arxiv: 1201.3808 · arxiv_version: 1201.3808v1 · doi: 10.48550/arxiv.1201.3808 · pith_short_12: HNZZQDUVP7RX · pith_short_16: HNZZQDUVP7RXS3VA · pith_short_8: HNZZQDUV

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/HNZZQDUVP7RXS3VARF7XZKEKIF \
  | 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: 3b73980e957fe3796ea0897f7ca88a414ff386fe6f4e531efc9fece479bd3b45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9633d69a708ed182b1b2b9372cf90e59701bb233451295badd87bf42e9cc0fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-18T15:00:42Z",
    "title_canon_sha256": "c034f03ad4f7fc7fd9f7bfc3a604fdb9356552c829ae0e49be617151aa3db019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3808",
    "kind": "arxiv",
    "version": 1
  }
}