Pith Number

pith:W3GBZYB5

pith:2015:W3GBZYB5OC472ZGOLXOBSYWTQR

not attested not anchored not stored refs pending

Left determined model categories

Philippe Gaucher

arxiv:1507.02128 v4 · 2015-07-08 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3GBZYB5OC472ZGOLXOBSYWTQR}

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	2026-05-18T01:27:31.439854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6cc1ce03d70b9fd64ce5ddc1962d38478db7c045e3bfebf681e0c1f86c2429b

Aliases

arxiv: 1507.02128 · arxiv_version: 1507.02128v4 · doi: 10.48550/arxiv.1507.02128 · pith_short_12: W3GBZYB5OC47 · pith_short_16: W3GBZYB5OC472ZGO · pith_short_8: W3GBZYB5

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/W3GBZYB5OC472ZGOLXOBSYWTQR \
  | 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: b6cc1ce03d70b9fd64ce5ddc1962d38478db7c045e3bfebf681e0c1f86c2429b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1a5bf308fbad6380ac32b2350924d3e3edc40df0b3ff1ca3f719233c5a6d01",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-07-08T12:42:28Z",
    "title_canon_sha256": "d0044b39ff2a4fc468bb88a4ccd10e643c675f3a20e176fb9794bdda24da1340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02128",
    "kind": "arxiv",
    "version": 4
  }
}