Pith Number

pith:ZWUPPOJQ

pith:2012:ZWUPPOJQGCNV2TUTGS5AILA7M6

not attested not anchored not stored refs pending

Generalized Binomial Edge Ideals

Johannes Rauh

arxiv:1210.7960 v1 · 2012-10-30 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWUPPOJQGCNV2TUTGS5AILA7M6}

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	2026-05-18T02:49:39.100738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda8f7b930309b5d4e9334ba042c1f67a077d2a9f3ed57cbeb4a6a16f0a99bc9

Aliases

arxiv: 1210.7960 · arxiv_version: 1210.7960v1 · doi: 10.48550/arxiv.1210.7960 · pith_short_12: ZWUPPOJQGCNV · pith_short_16: ZWUPPOJQGCNV2TUT · pith_short_8: ZWUPPOJQ

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/ZWUPPOJQGCNV2TUTGS5AILA7M6 \
  | 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: cda8f7b930309b5d4e9334ba042c1f67a077d2a9f3ed57cbeb4a6a16f0a99bc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5331d123731668a3d985c0f9d18a763f03075aefee305c585493a7124e517676",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-30T10:52:29Z",
    "title_canon_sha256": "2a597ca985cd7136d6c8886d98bb14f7a767b6805d60867fd931bf930ea8c5c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7960",
    "kind": "arxiv",
    "version": 1
  }
}