Pith Number

pith:RSYB37DQ

pith:2009:RSYB37DQMTJD3V2DYX6BKCDRCE

not attested not anchored not stored refs pending

Higher-Dimensional Algebra VII: Groupoidification

Alexander E. Hoffnung, Christopher D. Walker, John C. Baez

arxiv:0908.4305 v3 · 2009-08-29 · 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{RSYB37DQMTJD3V2DYX6BKCDRCE}

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	2026-05-18T04:38:59.308694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cb01dfc7064d23dd743c5fc15087111370c01df598ad3e09fab4a04e8d43f46

Aliases

arxiv: 0908.4305 · arxiv_version: 0908.4305v3 · doi: 10.48550/arxiv.0908.4305 · pith_short_12: RSYB37DQMTJD · pith_short_16: RSYB37DQMTJD3V2D · pith_short_8: RSYB37DQ

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/RSYB37DQMTJD3V2DYX6BKCDRCE \
  | 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: 8cb01dfc7064d23dd743c5fc15087111370c01df598ad3e09fab4a04e8d43f46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab0131d5ad6fd0f564e2087083d5b758f0ac49ee06be58da44186b82cc700e3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-08-29T16:16:35Z",
    "title_canon_sha256": "374baab0583c8da403c43f9156814b0ec149896e94ee87925235d9affe1ca4b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4305",
    "kind": "arxiv",
    "version": 3
  }
}