Pith Number

pith:JGAZ4NQS

pith:2010:JGAZ4NQS3U4C32IEDNJIEFVUUX

not attested not anchored not stored refs pending

A note on the Wehrheim-Woodward category

Alan Weinstein

arxiv:1012.0105 v2 · 2010-12-01 · math.SG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGAZ4NQS3U4C32IEDNJIEFVUUX}

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	2026-05-18T04:26:56.307993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49819e3612dd382de9041b528216b4a5f782990f827b938a57f13e6ff6051967

Aliases

arxiv: 1012.0105 · arxiv_version: 1012.0105v2 · doi: 10.48550/arxiv.1012.0105 · pith_short_12: JGAZ4NQS3U4C · pith_short_16: JGAZ4NQS3U4C32IE · pith_short_8: JGAZ4NQS

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/JGAZ4NQS3U4C32IEDNJIEFVUUX \
  | 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: 49819e3612dd382de9041b528216b4a5f782990f827b938a57f13e6ff6051967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db615744afe78bfbaa5d0c9c45e81de5723bda20a330e67c4b6c0fa46df33d0",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-12-01T06:20:53Z",
    "title_canon_sha256": "c82d525cfd9575c92451f5fb8483e9601eb0659dfc337d84f298f8c04e19ce0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0105",
    "kind": "arxiv",
    "version": 2
  }
}