Pith Number

pith:Q7IX26FU

pith:2008:Q7IX26FUCHH724QTGXWKFU7JRZ

not attested not anchored not stored refs pending

Types are weak omega-groupoids

Benno van den Berg, Richard Garner

arxiv:0812.0298 v2 · 2008-12-01 · math.LO · 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{Q7IX26FUCHH724QTGXWKFU7JRZ}

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	2026-05-18T04:11:06.229649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d17d78b411cffd721335eca2d3e98e448dd356324ae7356103610ff2858f88

Aliases

arxiv: 0812.0298 · arxiv_version: 0812.0298v2 · doi: 10.48550/arxiv.0812.0298 · pith_short_12: Q7IX26FUCHH7 · pith_short_16: Q7IX26FUCHH724QT · pith_short_8: Q7IX26FU

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/Q7IX26FUCHH724QTGXWKFU7JRZ \
  | 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: 87d17d78b411cffd721335eca2d3e98e448dd356324ae7356103610ff2858f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b59c526b6d251e54f96f10da2429c48103bf8fba2b108d29738cbe9a66268f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2008-12-01T14:02:16Z",
    "title_canon_sha256": "fc05d61d59f5398259375fc63e26cca3536a4e5ab3dbb7e4b36e8cc97e3def75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0298",
    "kind": "arxiv",
    "version": 2
  }
}