Pith Number

pith:E3HMSGWU

pith:2026:E3HMSGWU3GWLOYMPK7ENBY3TM3

not attested not anchored not stored refs pending

Complexity Classification of Colouring Problems with Parity Constraints

Haiko M\"uller, Juan Pablo Bravo, Noleen K\"ohler, R\'emy Belmonte

arxiv:2607.16879 v1 · 2026-07-18 · cs.DS · 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{E3HMSGWU3GWLOYMPK7ENBY3TM3}

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	2026-07-21T01:21:03.610554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26cec91ad4d9acb7618f57c8d0e37366cf3e5b84a8bd37af186cb2b91a796462

Aliases

arxiv: 2607.16879 · arxiv_version: 2607.16879v1 · doi: 10.48550/arxiv.2607.16879 · pith_short_12: E3HMSGWU3GWL · pith_short_16: E3HMSGWU3GWLOYMP · pith_short_8: E3HMSGWU

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/E3HMSGWU3GWLOYMPK7ENBY3TM3 \
  | 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: 26cec91ad4d9acb7618f57c8d0e37366cf3e5b84a8bd37af186cb2b91a796462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df3752bde0e1319d04dc7c161445f0c6845c73a88bfb69c23f58814531e0efa",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-18T16:34:49Z",
    "title_canon_sha256": "ef24adef2c9f8616b44494ea479a05c5b60737c8856bcedd36e98cadb346f6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16879",
    "kind": "arxiv",
    "version": 1
  }
}