Pith Number

pith:S2UTYFL6

pith:2019:S2UTYFL6UDY5FUVXKC4D4SNNGA

not attested not anchored not stored refs pending

Planar graphs have bounded nonrepetitive chromatic number

Bartosz Walczak, David R. Wood, Gwena\"el Joret, Louis Esperet, Vida Dujmovi\'c

arxiv:1904.05269 v4 · 2019-04-10 · 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{S2UTYFL6UDY5FUVXKC4D4SNNGA}

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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

A note about online nonrepetitive coloring $k$-trees

Receipt and verification

First computed	2026-07-05T03:50:11.944445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a93c157ea0f1d2d2b750b83e49ad302e4c798488c274c498e4aaac719829d0

Aliases

arxiv: 1904.05269 · arxiv_version: 1904.05269v4 · doi: 10.48550/arxiv.1904.05269 · pith_short_12: S2UTYFL6UDY5 · pith_short_16: S2UTYFL6UDY5FUVX · pith_short_8: S2UTYFL6

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/S2UTYFL6UDY5FUVXKC4D4SNNGA \
  | 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: 96a93c157ea0f1d2d2b750b83e49ad302e4c798488c274c498e4aaac719829d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79a5fe1b1ae68be49ac69a9de2638bb5434ec4ee9c7a042e24bbdd24995776b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-10T16:13:30Z",
    "title_canon_sha256": "5b43631469fa367a0e7baf9bb62180eec70776abadbe5d045bbfbdc7fe4817e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05269",
    "kind": "arxiv",
    "version": 4
  }
}