Pith Number

pith:DBDJCGAI

pith:2014:DBDJCGAII6BNNKW53SKAO6U5TV

not attested not anchored not stored refs pending

Semi-localizations of semi-abelian categories

Marino Gran, Stephen Lack

arxiv:1405.1092 v2 · 2014-05-05 · 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{DBDJCGAII6BNNKW53SKAO6U5TV}

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	2026-05-18T01:21:13.916753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18469118084782d6aadddc94077a9d9d532c8108b9216439d6d9e0b50197c349

Aliases

arxiv: 1405.1092 · arxiv_version: 1405.1092v2 · doi: 10.48550/arxiv.1405.1092 · pith_short_12: DBDJCGAII6BN · pith_short_16: DBDJCGAII6BNNKW5 · pith_short_8: DBDJCGAI

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/DBDJCGAII6BNNKW53SKAO6U5TV \
  | 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: 18469118084782d6aadddc94077a9d9d532c8108b9216439d6d9e0b50197c349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b0f5e7d7a8d7aa90e330ef6e160ab413f152f3c10e7226417875bd5c7bcd02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-05-05T21:59:43Z",
    "title_canon_sha256": "cfacbbad906c8cc670adb17446b02bfc5458735a0eb69bc74fa4b1d41cec9d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1092",
    "kind": "arxiv",
    "version": 2
  }
}