Pith Number

pith:7E3KBL7P

pith:2024:7E3KBL7PGKK5RNSKYC7A5FVDMK

not attested not anchored not stored refs pending

On odd covers of cliques and disjoint unions

Alexander Clifton, Calum Buchanan, Eric Culver, Jiaxi Nie, Kenta Ozeki, Mei Yin, P\'eter Frankl, Puck Rombach

arxiv:2408.08598 v1 · 2024-08-16 · 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{7E3KBL7PGKK5RNSKYC7A5FVDMK}

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

2 papers in Pith

Almost balanced ordered biclique covering of graphs

A counterexample to the conjecture on Biclique Partition number of Split Graphs and related problems

Receipt and verification

First computed	2026-07-05T08:56:06.320853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f936a0afef3295d8b64ac0be0e96a3629d02bf1c0800c47d976dd8679c77d8ce

Aliases

arxiv: 2408.08598 · arxiv_version: 2408.08598v1 · doi: 10.48550/arxiv.2408.08598 · pith_short_12: 7E3KBL7PGKK5 · pith_short_16: 7E3KBL7PGKK5RNSK · pith_short_8: 7E3KBL7P

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/7E3KBL7PGKK5RNSKYC7A5FVDMK \
  | 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: f936a0afef3295d8b64ac0be0e96a3629d02bf1c0800c47d976dd8679c77d8ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d0b6c1eee1b7e7670663a30d8dd29a1ab6e7621fdb31cc1caf80194db12a5f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-16T08:20:11Z",
    "title_canon_sha256": "62c43411114db6e10558adf42b7097fab7329ceac36dc8563278b8b50a39bc73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.08598",
    "kind": "arxiv",
    "version": 1
  }
}