Pith Number

pith:X2VBFBH5

pith:2010:X2VBFBH5GYGUUAPOWPFWOVP52M

not attested not anchored not stored refs pending

Generalized Skein Modules of Surfaces

Jeffrey Boerner, Paul Drube

arxiv:1009.3207 v1 · 2010-09-16 · 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{X2VBFBH5GYGUUAPOWPFWOVP52M}

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	2026-05-18T04:40:46.746233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beaa1284fd360d4a01eeb3cb6755fdd33e4f8e7502071a6a3a265d1216d3442b

Aliases

arxiv: 1009.3207 · arxiv_version: 1009.3207v1 · doi: 10.48550/arxiv.1009.3207 · pith_short_12: X2VBFBH5GYGU · pith_short_16: X2VBFBH5GYGUUAPO · pith_short_8: X2VBFBH5

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/X2VBFBH5GYGUUAPOWPFWOVP52M \
  | 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: beaa1284fd360d4a01eeb3cb6755fdd33e4f8e7502071a6a3a265d1216d3442b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0290abb8ea34870dfc5159da79ca45e09baadd05f3e170db126857b25caadb40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-16T15:55:54Z",
    "title_canon_sha256": "36ce22f426a8df76eb5b3024318a62b1b80cafbaa549052836188c106398b7b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3207",
    "kind": "arxiv",
    "version": 1
  }
}