Pith Number

pith:YHHXFWII

pith:2012:YHHXFWIIHPC7XF7RPQZZOMUXHQ

not attested not anchored not stored refs pending

The cone spanned by maximal Cohen-Macaulay modules and an application

C.-Y. Jean Chan, Kazuhiko Kurano

arxiv:1211.4016 v2 · 2012-11-16 · 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{YHHXFWIIHPC7XF7RPQZZOMUXHQ}

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	2026-05-18T01:36:41.794053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1cf72d9083bc5fb97f17c339732973c3c178a094e54445d171e7fe1f9ed695a

Aliases

arxiv: 1211.4016 · arxiv_version: 1211.4016v2 · doi: 10.48550/arxiv.1211.4016 · pith_short_12: YHHXFWIIHPC7 · pith_short_16: YHHXFWIIHPC7XF7R · pith_short_8: YHHXFWII

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/YHHXFWIIHPC7XF7RPQZZOMUXHQ \
  | 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: c1cf72d9083bc5fb97f17c339732973c3c178a094e54445d171e7fe1f9ed695a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb63509bb6579ae05a4aa24c655e38325a7d4b0bbae2482157323516fc6d7950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-11-16T20:39:05Z",
    "title_canon_sha256": "3436b58fff9e573ff1573c2b50f53ec2eab980a117ad0e47430a32f67dafb1f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4016",
    "kind": "arxiv",
    "version": 2
  }
}