Pith Number

pith:F2G2DIEF

pith:2014:F2G2DIEFNUQHZZLOB3EAFOEN7D

not attested not anchored not stored refs pending

Cartan-Eilenberg complexes and Auslander categories

Wei Ren, Zhongkui Liu

arxiv:1408.6728 v2 · 2014-08-28 · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2G2DIEFNUQHZZLOB3EAFOEN7D}

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	2026-05-18T02:32:30.577694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8da1a0856d207ce56e0ec802b88df8ce3741675a83b2e28ea0fb6f381a0b4b

Aliases

arxiv: 1408.6728 · arxiv_version: 1408.6728v2 · doi: 10.48550/arxiv.1408.6728 · pith_short_12: F2G2DIEFNUQH · pith_short_16: F2G2DIEFNUQHZZLO · pith_short_8: F2G2DIEF

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/F2G2DIEFNUQHZZLOB3EAFOEN7D \
  | 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: 2e8da1a0856d207ce56e0ec802b88df8ce3741675a83b2e28ea0fb6f381a0b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f30e0453f1defaea136dbd96d2b1486694ea336ab067d6ecd765c1b7ea1e63de",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-08-28T14:04:39Z",
    "title_canon_sha256": "0a5df419fc84599a07bd15c29c19969a46aecc96fa430767ca3bc903d19577ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6728",
    "kind": "arxiv",
    "version": 2
  }
}