Pith Number

pith:YZDCRFSK

pith:2014:YZDCRFSKZOD5XDLQLV5TFOX6OB

not attested not anchored not stored refs pending

Maximal Cohen-Macaulay modules over local toric rings

Hans Schoutens

arxiv:1408.6220 v1 · 2014-08-26 · 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{YZDCRFSKZOD5XDLQLV5TFOX6OB}

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	2026-05-18T02:44:09.084208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c64628964acb87db8d705d7b32bafe7053eb5f02a0006d99b7570d9356a103bb

Aliases

arxiv: 1408.6220 · arxiv_version: 1408.6220v1 · doi: 10.48550/arxiv.1408.6220 · pith_short_12: YZDCRFSKZOD5 · pith_short_16: YZDCRFSKZOD5XDLQ · pith_short_8: YZDCRFSK

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/YZDCRFSKZOD5XDLQLV5TFOX6OB \
  | 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: c64628964acb87db8d705d7b32bafe7053eb5f02a0006d99b7570d9356a103bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80491ef005e0f17c809d2d47a9b2fc201665079d4daf77bc4d157a359d3f6766",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-08-26T19:48:52Z",
    "title_canon_sha256": "d0e30f4e2cb1c055a9eabc4d6fc1281e4d6f8d744f82fb9bc00c0c6814b78a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6220",
    "kind": "arxiv",
    "version": 1
  }
}