Pith Number

pith:E52OM3CQ

pith:2008:E52OM3CQNQAM42WXRZ5ZMZDFJ2

not attested not anchored not stored refs pending

2-Vector Spaces and Groupoids

Jeffrey C. Morton

arxiv:0810.2361 v2 · 2008-10-14 · math.QA · 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{E52OM3CQNQAM42WXRZ5ZMZDFJ2}

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	2026-07-04T17:24:21.551593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2774e66c506c00ce6ad78e7b9664654e94e933bc9308f5de4446446ceddc2f88

Aliases

arxiv: 0810.2361 · arxiv_version: 0810.2361v2 · doi: 10.48550/arxiv.0810.2361 · pith_short_12: E52OM3CQNQAM · pith_short_16: E52OM3CQNQAM42WX · pith_short_8: E52OM3CQ

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/E52OM3CQNQAM42WXRZ5ZMZDFJ2 \
  | 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: 2774e66c506c00ce6ad78e7b9664654e94e933bc9308f5de4446446ceddc2f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25118110d04e339f10efb638bc395bc4354b73a687d6c24c1fc9b10d5539bfe8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-10-14T05:14:22Z",
    "title_canon_sha256": "8c68747b7b2ea4c9dbf2c8ae923ea4f82eb84251268b086b08ab5b01c9ae6963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2361",
    "kind": "arxiv",
    "version": 2
  }
}