Pith Number

pith:MYRZAA7N

pith:2024:MYRZAA7NWUNTCFWIEU534R5ZAR

not attested not anchored not stored refs pending

The Graph Coloring Game on $4\times n$-Grids

Caroline Brosse, Nicolas Martins, Nicolas Nisse, Rudini Sampaio

arxiv:2412.17668 v1 · 2024-12-23 · 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{MYRZAA7NWUNTCFWIEU534R5ZAR}

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

The Normal Domination Partizan Game in Stars

Receipt and verification

First computed	2026-07-05T09:53:25.677398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66239003edb51b3116c8253bbe47b9046d635d55632df841eb416c7407db6c8e

Aliases

arxiv: 2412.17668 · arxiv_version: 2412.17668v1 · doi: 10.48550/arxiv.2412.17668 · pith_short_12: MYRZAA7NWUNT · pith_short_16: MYRZAA7NWUNTCFWI · pith_short_8: MYRZAA7N

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/MYRZAA7NWUNTCFWIEU534R5ZAR \
  | 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: 66239003edb51b3116c8253bbe47b9046d635d55632df841eb416c7407db6c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382cbd80cf3564a0c97684465b369ffc3c73cb184d315d06cce82bf1244c9421",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-23T15:54:14Z",
    "title_canon_sha256": "e854547fbce4678d5943ad0d34163f1659eebb7db0a38b45aa720503ac7bfd3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17668",
    "kind": "arxiv",
    "version": 1
  }
}