Pith Number

pith:MTZNC7D3

pith:2017:MTZNC7D3KYU4K57C4AYM4XLIQO

not attested not anchored not stored refs pending

Distributors and the comprehensive factorization system for internal groupoids

Giuseppe Metere

arxiv:1701.05139 v3 · 2017-01-18 · 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{MTZNC7D3KYU4K57C4AYM4XLIQO}

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	2026-05-17T23:43:54.290512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f2d17c7b5629c577e2e030ce5d6883b7cebc8f8223f2d2bc4d523d72fb6355

Aliases

arxiv: 1701.05139 · arxiv_version: 1701.05139v3 · doi: 10.48550/arxiv.1701.05139 · pith_short_12: MTZNC7D3KYU4 · pith_short_16: MTZNC7D3KYU4K57C · pith_short_8: MTZNC7D3

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/MTZNC7D3KYU4K57C4AYM4XLIQO \
  | 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: 64f2d17c7b5629c577e2e030ce5d6883b7cebc8f8223f2d2bc4d523d72fb6355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3969041c6cf9049a7437ff04fa3287f7365e95c7c561902e81748261a38ff497",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-01-18T16:41:08Z",
    "title_canon_sha256": "33dc406083beeda80450a8016639411f2b337bff69266af735c92e75bad77ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05139",
    "kind": "arxiv",
    "version": 3
  }
}