Pith Number

pith:5N5VXIUK

pith:2013:5N5VXIUK4TOTHO26CRDJLMB2QY

not attested not anchored not stored refs pending

Cohen-Macaulay-ness in codimension for bipartite graphs

Hassan Haghighi, Rahim Zaare-Nahandi, Siamak Yassemi

arxiv:1302.0368 v1 · 2013-02-02 · 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{5N5VXIUK4TOTHO26CRDJLMB2QY}

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	2026-05-18T03:34:37.318247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7b5ba28ae4dd33bb5e144695b03a8618d5a0f34762f9969dc5040992a438a9

Aliases

arxiv: 1302.0368 · arxiv_version: 1302.0368v1 · doi: 10.48550/arxiv.1302.0368 · pith_short_12: 5N5VXIUK4TOT · pith_short_16: 5N5VXIUK4TOTHO26 · pith_short_8: 5N5VXIUK

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/5N5VXIUK4TOTHO26CRDJLMB2QY \
  | 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: eb7b5ba28ae4dd33bb5e144695b03a8618d5a0f34762f9969dc5040992a438a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca121745841573048a88434103f0eea5a29206995dc6882a76aed977e458b18",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-02T11:57:21Z",
    "title_canon_sha256": "81944107b87d75c63360af59e41156e08b054862e4716be7460775676e63ac30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0368",
    "kind": "arxiv",
    "version": 1
  }
}