Pith Number

pith:ZTNQ4BKJ

pith:2014:ZTNQ4BKJXNIYF7MNN7EUGRTUHU

not attested not anchored not stored refs pending

The Euler characteristic of an enriched category

Kazunori Noguchi, Kohei Tanaka

arxiv:1405.3356 v2 · 2014-05-14 · 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{ZTNQ4BKJXNIYF7MNN7EUGRTUHU}

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	2026-05-18T00:56:53.209715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccdb0e0549bb5182fd8d6fc94346743d1a01fd4890ea61c56deeb2bf303ed7a6

Aliases

arxiv: 1405.3356 · arxiv_version: 1405.3356v2 · doi: 10.48550/arxiv.1405.3356 · pith_short_12: ZTNQ4BKJXNIY · pith_short_16: ZTNQ4BKJXNIYF7MN · pith_short_8: ZTNQ4BKJ

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/ZTNQ4BKJXNIYF7MNN7EUGRTUHU \
  | 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: ccdb0e0549bb5182fd8d6fc94346743d1a01fd4890ea61c56deeb2bf303ed7a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b20430fb74419b6837ca4f16f635b2f1992f6fe9c6a1d1487da223786f35e90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-05-14T04:35:32Z",
    "title_canon_sha256": "1dc26bf3dc7b32e91a211059aa65aa367cda9c78663f3303e67e48414b24332a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3356",
    "kind": "arxiv",
    "version": 2
  }
}