Pith Number

pith:OQ74OZRC

pith:2025:OQ74OZRCCTDMAFFBVJY4WGHVWH

not attested not anchored not stored refs pending

Sharp results for the Erd\H{o}s, Pach, Pollack and Tuza problem

Jorik Jooken, Stijn Cambie

arxiv:2502.08626 v1 · 2025-02-12 · 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{OQ74OZRCCTDMAFFBVJY4WGHVWH}

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.

Cited by

1 paper in Pith

Computer-assisted graph theory: a survey

Receipt and verification

First computed	2026-07-05T10:13:25.579189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743fc7662214c6c014a1aa71cb18f5b1cdfc1e6cf99e7396d6af54042d505fc5

Aliases

arxiv: 2502.08626 · arxiv_version: 2502.08626v1 · doi: 10.48550/arxiv.2502.08626 · pith_short_12: OQ74OZRCCTDM · pith_short_16: OQ74OZRCCTDMAFFB · pith_short_8: OQ74OZRC

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/OQ74OZRCCTDMAFFBVJY4WGHVWH \
  | 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: 743fc7662214c6c014a1aa71cb18f5b1cdfc1e6cf99e7396d6af54042d505fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b1849696a9b94a10632e6c36a29f4e32934bc77665c7efff0ac2138dc6bea85",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-12T18:27:15Z",
    "title_canon_sha256": "0c43c3f5bb6d469bb2788503e170a3b2a638bf478f9c668cc3dcfe061917f5e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08626",
    "kind": "arxiv",
    "version": 1
  }
}