Pith Number

pith:UT6YUKBR

pith:2012:UT6YUKBR6OYD2MPNVJ6FP7COHT

not attested not anchored not stored refs pending

Modules that detect finite homological dimensions

Hailong Dao, Olgur Celikbas, Ryo Takahashi

arxiv:1207.5869 v2 · 2012-07-25 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UT6YUKBR6OYD2MPNVJ6FP7COHT}

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	2026-05-18T01:28:21.648673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4fd8a2831f3b03d31edaa7c57fc4e3cee5f36dc9ddc8efb366edc0653699147

Aliases

arxiv: 1207.5869 · arxiv_version: 1207.5869v2 · doi: 10.48550/arxiv.1207.5869 · pith_short_12: UT6YUKBR6OYD · pith_short_16: UT6YUKBR6OYD2MPN · pith_short_8: UT6YUKBR

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/UT6YUKBR6OYD2MPNVJ6FP7COHT \
  | 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: a4fd8a2831f3b03d31edaa7c57fc4e3cee5f36dc9ddc8efb366edc0653699147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ea8b9f1526390b4c9d9815c7289147cac4e9d39c50167d270355caa44ee70bf",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-25T02:17:40Z",
    "title_canon_sha256": "c1cc583036ee711544c969f966a3c0bf55a08128f03968e471416efd416f8b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5869",
    "kind": "arxiv",
    "version": 2
  }
}