Pith Number

pith:4S47L4RV

pith:2008:4S47L4RVY5O3S4BQS7EA5BV3A7

not attested not anchored not stored refs pending

Cut ideals of K4-minor free graphs are generated by quadrics

Alexander Engstrom

arxiv:0805.1762 v3 · 2008-05-13 · 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{4S47L4RVY5O3S4BQS7EA5BV3A7}

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	2026-05-18T04:35:15.121267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b9f5f235c75db9703097c80e86bb07fd60d4b27bea17e27bebeadfa88d1049

Aliases

arxiv: 0805.1762 · arxiv_version: 0805.1762v3 · doi: 10.48550/arxiv.0805.1762 · pith_short_12: 4S47L4RVY5O3 · pith_short_16: 4S47L4RVY5O3S4BQ · pith_short_8: 4S47L4RV

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/4S47L4RVY5O3S4BQS7EA5BV3A7 \
  | 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: e4b9f5f235c75db9703097c80e86bb07fd60d4b27bea17e27bebeadfa88d1049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a93512b3588562fe08c57cf0d1595894e777c46ce3f474d001a0f3d3bc5cd892",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-05-13T00:49:23Z",
    "title_canon_sha256": "fcc9aaf931bd92bbba3685150153ad7d30ce9ee0b1601ab999082a0185a4e977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1762",
    "kind": "arxiv",
    "version": 3
  }
}