Pith Number

pith:F3VUVV32

pith:2015:F3VUVV32TLQBXLRN5XQL45YUYT

not attested not anchored not stored refs pending

Online Paintability: The Slow-Coloring Game

Douglas B. West, Gregory J. Puleo, Thomas Mahoney

arxiv:1507.06513 v2 · 2015-07-23 · 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{F3VUVV32TLQBXLRN5XQL45YUYT}

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	2026-05-18T00:40:51.950294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eeb4ad77a9ae01bae2dede0be7714c4fb3116917ddc89dbbdb9c0d063d6e43b

Aliases

arxiv: 1507.06513 · arxiv_version: 1507.06513v2 · doi: 10.48550/arxiv.1507.06513 · pith_short_12: F3VUVV32TLQB · pith_short_16: F3VUVV32TLQBXLRN · pith_short_8: F3VUVV32

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/F3VUVV32TLQBXLRN5XQL45YUYT \
  | 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: 2eeb4ad77a9ae01bae2dede0be7714c4fb3116917ddc89dbbdb9c0d063d6e43b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31fbd4a4f077ab72edcc11c411dc26784739f3a74bead1eff5e130d9f96b1a53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-23T14:32:07Z",
    "title_canon_sha256": "2cf33dfbbc759ec0bb048f766d6638634fe4f97aae9200a68fee3ccd0ac4745e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06513",
    "kind": "arxiv",
    "version": 2
  }
}