Pith Number

pith:QPOUFHQD

pith:2012:QPOUFHQD2YHTB342JMQIFKPLNC

not attested not anchored not stored refs pending

Regularity of edge ideal of a graph

Ali Akbar Yazdan Pour, Marcel Morales, Rashid Zaare-Nahandi

arxiv:1207.6249 v1 · 2012-07-26 · 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{QPOUFHQD2YHTB342JMQIFKPLNC}

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	2026-05-18T01:36:21.226860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83dd429e03d60f30ef9a4b2082a9eb68941479e2e3662a3f9cc24738c4036dda

Aliases

arxiv: 1207.6249 · arxiv_version: 1207.6249v1 · doi: 10.48550/arxiv.1207.6249 · pith_short_12: QPOUFHQD2YHT · pith_short_16: QPOUFHQD2YHTB342 · pith_short_8: QPOUFHQD

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/QPOUFHQD2YHTB342JMQIFKPLNC \
  | 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: 83dd429e03d60f30ef9a4b2082a9eb68941479e2e3662a3f9cc24738c4036dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd1185c5187d9e5d702b810c962a365a2a09ede7343b28b30edcf6233b82390",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-26T12:07:47Z",
    "title_canon_sha256": "2e49c85d3cb4a982b3588febc577a96dfc012759210d10d5e9c7965ef7ac7f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6249",
    "kind": "arxiv",
    "version": 1
  }
}