Pith Number

pith:SJS7FNDX

pith:2019:SJS7FNDXDSR465ZVVZ4BKWZPOE

not attested not anchored not stored refs pending

Equitable tree-$O(d)$-coloring of $d$-degenerate graphs

Bei Niu, Xin Zhang

arxiv:1908.05069 v1 · 2019-08-14 · math.CO · cs.DM

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJS7FNDXDSR465ZVVZ4BKWZPOE}

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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

Equitable vertex arboricity conjecture holds for graphs with low degeneracy

Receipt and verification

First computed	2026-07-04T23:55:59.588133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9265f2b4771ca3cf7735ae78155b2f710bfa42c788d2436b44394fb4d1d2c048

Aliases

arxiv: 1908.05069 · arxiv_version: 1908.05069v1 · doi: 10.48550/arxiv.1908.05069 · pith_short_12: SJS7FNDXDSR4 · pith_short_16: SJS7FNDXDSR465ZV · pith_short_8: SJS7FNDX

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/SJS7FNDXDSR465ZVVZ4BKWZPOE \
  | 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: 9265f2b4771ca3cf7735ae78155b2f710bfa42c788d2436b44394fb4d1d2c048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7938558a0ccc64fc57b851bff218bd4c761980a04b5b52b4bac1b6b09c70911e",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-14T11:05:37Z",
    "title_canon_sha256": "e34abdb8fc6181be6e155e7426c3d9a35d51f999be67e788fc92166a5d7f4b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05069",
    "kind": "arxiv",
    "version": 1
  }
}