Pith Number

pith:MUWWHKOO

pith:2026:MUWWHKOOPPJSH2LYDM4NLGX5JV

not attested not anchored not stored refs pending

Strong Majority Edge-Coloring

Magdalena Prorok, Nika Salia, Sylwia Antoniuk

arxiv:2607.00212 v1 · 2026-06-30 · 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{MUWWHKOOPPJSH2LYDM4NLGX5JV}

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	2026-07-02T00:18:39.248703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

652d63a9ce7bd323e9781b38d59afd4d687a08e121ddd6e104acc994d70d8bdd

Aliases

arxiv: 2607.00212 · arxiv_version: 2607.00212v1 · doi: 10.48550/arxiv.2607.00212 · pith_short_12: MUWWHKOOPPJS · pith_short_16: MUWWHKOOPPJSH2LY · pith_short_8: MUWWHKOO

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/MUWWHKOOPPJSH2LYDM4NLGX5JV \
  | 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: 652d63a9ce7bd323e9781b38d59afd4d687a08e121ddd6e104acc994d70d8bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522f6daff357ae03a34aa1d1fab70ef75ae3faf5295751b53eee4653b64d312b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-30T21:43:51Z",
    "title_canon_sha256": "b3fba2ee557697755cf80aa3c21f4ee76aba80105781e17840e093994993e797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00212",
    "kind": "arxiv",
    "version": 1
  }
}