Pith Number

pith:KTLV76CC

pith:2012:KTLV76CC4ZUUGLOA4UTIBV4PDD

not attested not anchored not stored refs pending

On a transform of an acyclic complex of length 3

Koji Nishida, Kosuke Fukumuro, Taro Inagawa

arxiv:1211.0738 v1 · 2012-11-05 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTLV76CC4ZUUGLOA4UTIBV4PDD}

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	2026-05-18T03:41:31.671365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d75ff842e669432dc0e52680d78f18f4fb82f922cc7fffa1c38d6e5c0c36c6

Aliases

arxiv: 1211.0738 · arxiv_version: 1211.0738v1 · doi: 10.48550/arxiv.1211.0738 · pith_short_12: KTLV76CC4ZUU · pith_short_16: KTLV76CC4ZUUGLOA · pith_short_8: KTLV76CC

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/KTLV76CC4ZUUGLOA4UTIBV4PDD \
  | 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: 54d75ff842e669432dc0e52680d78f18f4fb82f922cc7fffa1c38d6e5c0c36c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2a39abc219b70fb3fcb64770cb278aa3ec90e42119c5e8a0bb21c0b229cf7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-05T00:31:41Z",
    "title_canon_sha256": "dd7f9e0bab7511c61a7f421b1ad6486cf8c162cbbdafdde5e6fda891e464240b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0738",
    "kind": "arxiv",
    "version": 1
  }
}