Pith Number

pith:ITCIT4RJ

pith:2013:ITCIT4RJ53R3TFS4F6QXBAL4CK

not attested not anchored not stored refs pending

Low Polynomial Exclusion of Planar Graph Patterns

Dimitrios M. Thilikos, Jean-Florent Raymond

arxiv:1305.7112 v2 · 2013-05-30 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITCIT4RJ53R3TFS4F6QXBAL4CK}

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	2026-05-18T01:27:37.124525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c489f229eee3b9965c2fa170817c12a81db49593b3d5e2b2d1f18ac2fc51b3

Aliases

arxiv: 1305.7112 · arxiv_version: 1305.7112v2 · doi: 10.48550/arxiv.1305.7112 · pith_short_12: ITCIT4RJ53R3 · pith_short_16: ITCIT4RJ53R3TFS4 · pith_short_8: ITCIT4RJ

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/ITCIT4RJ53R3TFS4F6QXBAL4CK \
  | 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: 44c489f229eee3b9965c2fa170817c12a81db49593b3d5e2b2d1f18ac2fc51b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b913e74a0a3d826a12f8dd63d55ab52b89bf5dced80fdb2e501760347d18fe",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-30T13:55:29Z",
    "title_canon_sha256": "00368f004fc9b6ea509533641c3fba2880f760d5c2c02e1b8b6ed8627cd87ce9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7112",
    "kind": "arxiv",
    "version": 2
  }
}