Pith Number

pith:4IMCSNZ7

pith:2014:4IMCSNZ7JKX546ZMMVCHGUAN2D

not attested not anchored not stored refs pending

Subcanonical Graded Rings Which Are Not Cohen-Macaulay, with Appendix: A non-Q-Gorenstein Cohen-Macaulay cone X with K_X Q-Cartier

Appendix by Jonathan Wahl (University of North Carolina, Chapel Hill), Fabrizio Catanese (Universitaet Bayreuth)

arxiv:1402.3815 v1 · 2014-02-16 · math.AG · 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{4IMCSNZ7JKX546ZMMVCHGUAN2D}

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	2026-05-18T02:58:55.543637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21829373f4aafde7b2c654473500dd0cda51854197a7360781cebc79fda7c40

Aliases

arxiv: 1402.3815 · arxiv_version: 1402.3815v1 · doi: 10.48550/arxiv.1402.3815 · pith_short_12: 4IMCSNZ7JKX5 · pith_short_16: 4IMCSNZ7JKX546ZM · pith_short_8: 4IMCSNZ7

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/4IMCSNZ7JKX546ZMMVCHGUAN2D \
  | 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: e21829373f4aafde7b2c654473500dd0cda51854197a7360781cebc79fda7c40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c973b722ca2280bd703c10d5fe1a0af9ac98b33749b9ea19950b3f553f98cdab",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-16T16:56:13Z",
    "title_canon_sha256": "9bd548849590a46821031a2b834514c5f442238dca8b1597974034988a216b73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3815",
    "kind": "arxiv",
    "version": 1
  }
}