Pith Number

pith:EPXKZSDB

pith:2012:EPXKZSDB63CVPUYWWZA56P3OZE

not attested not anchored not stored refs pending

The binomial edge ideal of a pair of graphs

Ayesha Asloob Qureshi, J\"urgen Herzog, Takayuki Hibi, Viviana Ene

arxiv:1203.2775 v1 · 2012-03-13 · 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{EPXKZSDB63CVPUYWWZA56P3OZE}

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	2026-05-18T02:29:25.461755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23eeacc861f6c557d316b641df3f6ec93982c19a39b8c234ae9a18a3a7a9ae38

Aliases

arxiv: 1203.2775 · arxiv_version: 1203.2775v1 · doi: 10.48550/arxiv.1203.2775 · pith_short_12: EPXKZSDB63CV · pith_short_16: EPXKZSDB63CVPUYW · pith_short_8: EPXKZSDB

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/EPXKZSDB63CVPUYWWZA56P3OZE \
  | 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: 23eeacc861f6c557d316b641df3f6ec93982c19a39b8c234ae9a18a3a7a9ae38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b1ef0de16f1cdec9257340aa9ae4b265759d89cd245bd00b2a533868cf7aa8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-13T11:32:44Z",
    "title_canon_sha256": "77dcb8ecd128fef051fcb6fbac9c5d4b2d1c61e3677f48496c31cd7afe328903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2775",
    "kind": "arxiv",
    "version": 1
  }
}