Pith Number

pith:JJVOZA32

pith:2008:JJVOZA32S4WP7GMSS2EZOXD2CF

not attested not anchored not stored refs pending

Cohen-Macaulay clutters with combinatorial optimization properties and parallelizations of normal edge ideals

Enrique Reyes-Espinoza, Luis A. Dupont, Rafael H. Villarreal

arxiv:0805.3838 v2 · 2008-05-25 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJVOZA32S4WP7GMSS2EZOXD2CF}

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	2026-05-18T04:25:11.672811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6aec837a972cff99929689975c7a11733511db3e45ff20d6d933104680893c

Aliases

arxiv: 0805.3838 · arxiv_version: 0805.3838v2 · doi: 10.48550/arxiv.0805.3838 · pith_short_12: JJVOZA32S4WP · pith_short_16: JJVOZA32S4WP7GMS · pith_short_8: JJVOZA32

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/JJVOZA32S4WP7GMSS2EZOXD2CF \
  | 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: 4a6aec837a972cff99929689975c7a11733511db3e45ff20d6d933104680893c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa3e4fc50026b6a4594078b4a6dceaa8a96a71dda947c4a73b79fdd50314719",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-05-25T16:39:02Z",
    "title_canon_sha256": "97866eaeec3159a5623619ddeb1d2da39e6997d6e56391011b53f410eba9817f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3838",
    "kind": "arxiv",
    "version": 2
  }
}