Pith Number

pith:WJOE5R6R

pith:2019:WJOE5R6RP6W3WCJTPTMPSWICXT

not attested not anchored not stored refs pending

$I$-Cohen Macaulay modules

Maria Azam, Waqas Mahmood

arxiv:1906.00143 v1 · 2019-06-01 · 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{WJOE5R6RP6W3WCJTPTMPSWICXT}

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	2026-05-17T23:44:28.027094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25c4ec7d17fadbb09337cd8f95902bcecd1fc8f1812b8062b5197ee97d49102

Aliases

arxiv: 1906.00143 · arxiv_version: 1906.00143v1 · doi: 10.48550/arxiv.1906.00143 · pith_short_12: WJOE5R6RP6W3 · pith_short_16: WJOE5R6RP6W3WCJT · pith_short_8: WJOE5R6R

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/WJOE5R6RP6W3WCJTPTMPSWICXT \
  | 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: b25c4ec7d17fadbb09337cd8f95902bcecd1fc8f1812b8062b5197ee97d49102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0964ceee46162106e16bd1561d96c87e6d69c97dd334761b059d6b32f95b46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-01T03:34:41Z",
    "title_canon_sha256": "27cd2ce59fddf1507ab5c37b5987c6ea09e6ea47b9a08cb4e68f1bcb31bdacfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00143",
    "kind": "arxiv",
    "version": 1
  }
}