Pith Number

pith:57I4IH2I

pith:2015:57I4IH2IMYSG64UXU2FLUR4TYB

not attested not anchored not stored refs pending

Testing for the Gorenstein property

Olgur Celikbas, Sean Sather-Wagstaff

arxiv:1504.08014 v3 · 2015-04-29 · 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{57I4IH2IMYSG64UXU2FLUR4TYB}

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	2026-05-18T01:23:38.317575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd1c41f4866246f7297a68aba4793c06d458218cd814c6b5e8b53d50da240f3

Aliases

arxiv: 1504.08014 · arxiv_version: 1504.08014v3 · doi: 10.48550/arxiv.1504.08014 · pith_short_12: 57I4IH2IMYSG · pith_short_16: 57I4IH2IMYSG64UX · pith_short_8: 57I4IH2I

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/57I4IH2IMYSG64UXU2FLUR4TYB \
  | 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: efd1c41f4866246f7297a68aba4793c06d458218cd814c6b5e8b53d50da240f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7868120cdb077986e67e235cec6979b474c14f560be90bd06df833332cdadd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-29T20:27:00Z",
    "title_canon_sha256": "be4435e8c4ef7d7991611cb69cb78547e25a70a0a83c2ac70a1074f904139d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08014",
    "kind": "arxiv",
    "version": 3
  }
}