Pith Number

pith:SZOYDDE7

pith:2024:SZOYDDE7UIYRDYHAJLODQP2K2K

not attested not anchored not stored refs pending

Brooks-type colourings of digraphs in linear time

Amadeus Reinald, Daniel Gon\c{c}alves, Lucas Picasarri-Arrieta

arxiv:2405.05222 v2 · 2024-05-08 · math.CO · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZOYDDE7UIYRDYHAJLODQP2K2K}

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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

Coloring digraphs with $\Delta-b$ colors

Receipt and verification

First computed	2026-07-05T10:39:45.537479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

965d818c9fa23111e0e04adc383f4ad2bb5a3e93725093e528c59e9fb19e3d6f

Aliases

arxiv: 2405.05222 · arxiv_version: 2405.05222v2 · doi: 10.48550/arxiv.2405.05222 · pith_short_12: SZOYDDE7UIYR · pith_short_16: SZOYDDE7UIYRDYHA · pith_short_8: SZOYDDE7

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/SZOYDDE7UIYRDYHAJLODQP2K2K \
  | 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: 965d818c9fa23111e0e04adc383f4ad2bb5a3e93725093e528c59e9fb19e3d6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db13caac1fb12e7f6cb580839e25d3a47c072e894b866642deafd4688cf64e5a",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-08T17:15:01Z",
    "title_canon_sha256": "aed1fa249fc1d21f28af33a5b163f074f63bb4ac5597886860ea5119f86f535b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.05222",
    "kind": "arxiv",
    "version": 2
  }
}