Pith Number

pith:JK75XYJC

pith:2009:JK75XYJCW7ABPE5OTKCLFE35Z4

not attested not anchored not stored refs pending

Gorenstein Syzygy Modules

Chonghui Huang, Zhaoyong Huang

arxiv:0903.4514 v3 · 2009-03-26 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK75XYJCW7ABPE5OTKCLFE35Z4}

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	2026-05-18T04:39:18.422234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abfdbe122b7c01793ae9a84b2937dcf37b769679319d1a661ab0bc0d4e288af

Aliases

arxiv: 0903.4514 · arxiv_version: 0903.4514v3 · doi: 10.48550/arxiv.0903.4514 · pith_short_12: JK75XYJCW7AB · pith_short_16: JK75XYJCW7ABPE5O · pith_short_8: JK75XYJC

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/JK75XYJCW7ABPE5OTKCLFE35Z4 \
  | 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: 4abfdbe122b7c01793ae9a84b2937dcf37b769679319d1a661ab0bc0d4e288af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085711676c292d66092589003583ec2d5c2a52bbe426755dc572a7186dabf8a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-03-26T05:32:53Z",
    "title_canon_sha256": "368cd17e6426d25256440e8f46f9e19009ee7686bd6bfa6aff3ce6e7511432d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4514",
    "kind": "arxiv",
    "version": 3
  }
}