Pith Number

pith:GPLF3ICH

pith:2012:GPLF3ICHDM2W2GAFSXSWSBYDO5

not attested not anchored not stored refs pending

Cohen-Macaulay binomial edge ideals of small deviation

Giancarlo Rinaldo

arxiv:1209.4972 v2 · 2012-09-22 · 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{GPLF3ICHDM2W2GAFSXSWSBYDO5}

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	2026-05-18T03:44:35.459728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d65da0471b356d180595e56907037757a196b6c768a21775606b4f6d68cff5

Aliases

arxiv: 1209.4972 · arxiv_version: 1209.4972v2 · doi: 10.48550/arxiv.1209.4972 · pith_short_12: GPLF3ICHDM2W · pith_short_16: GPLF3ICHDM2W2GAF · pith_short_8: GPLF3ICH

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/GPLF3ICHDM2W2GAFSXSWSBYDO5 \
  | 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: 33d65da0471b356d180595e56907037757a196b6c768a21775606b4f6d68cff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66cae1a2ff9bfdb361a0099414db965f8a404153a14228942b3e4edf3cecaf5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-09-22T08:55:28Z",
    "title_canon_sha256": "2d2b3f837f248eac187d96c50d774272f79420f7e7822c93869f92d76e1d071d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4972",
    "kind": "arxiv",
    "version": 2
  }
}