Pith Number

pith:POXRGWLS

pith:2017:POXRGWLSAIFSQ2ENFXXNGDJYB3

not attested not anchored not stored refs pending

Totally acyclic complexes and locally Gorenstein rings

Kiriko Kato, Lars Winther Christensen

arxiv:1702.02986 v1 · 2017-02-09 · 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{POXRGWLSAIFSQ2ENFXXNGDJYB3}

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	2026-05-18T00:50:58.920509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baf135972020b28688d2deed30d380ec1b960160a89e52a8934812b1c59af9b

Aliases

arxiv: 1702.02986 · arxiv_version: 1702.02986v1 · doi: 10.48550/arxiv.1702.02986 · pith_short_12: POXRGWLSAIFS · pith_short_16: POXRGWLSAIFSQ2EN · pith_short_8: POXRGWLS

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/POXRGWLSAIFSQ2ENFXXNGDJYB3 \
  | 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: 7baf135972020b28688d2deed30d380ec1b960160a89e52a8934812b1c59af9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cb4851cb85bd8f9a4983ddba61756e3b7d4c9c1be3bc14ea5411b09b8e8e080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-02-09T21:15:39Z",
    "title_canon_sha256": "235fc6102fc37dcaa321baf5c56b917d1fadbbcb00d347beb4f28e0ff377568d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02986",
    "kind": "arxiv",
    "version": 1
  }
}