Pith Number

pith:MIV7AK2P

pith:2015:MIV7AK2PUIJD2YUOOLM4B3EIY2

not attested not anchored not stored refs pending

List-coloring the Square of a Subcubic Graph

Daniel W. Cranston, Seog-Jin Kim

arxiv:1503.00157 v1 · 2015-02-28 · 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{MIV7AK2PUIJD2YUOOLM4B3EIY2}

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

Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)

Receipt and verification

First computed	2026-05-18T02:25:55.035341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

622bf02b4fa2123d628e72d9c0ec88c6b22ec25b6b9ad9735be54c4fc426135e

Aliases

arxiv: 1503.00157 · arxiv_version: 1503.00157v1 · doi: 10.48550/arxiv.1503.00157 · pith_short_12: MIV7AK2PUIJD · pith_short_16: MIV7AK2PUIJD2YUO · pith_short_8: MIV7AK2P

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/MIV7AK2PUIJD2YUOOLM4B3EIY2 \
  | 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: 622bf02b4fa2123d628e72d9c0ec88c6b22ec25b6b9ad9735be54c4fc426135e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285d9317c47caaad8bf90031390fa3407cffb82cb92a777cec0eb651f055ee50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-28T17:04:23Z",
    "title_canon_sha256": "6c2aa05448a80c6a4d3e4b97242d47cf3417d50e1e63c33e65f9de7e3bf1859b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00157",
    "kind": "arxiv",
    "version": 1
  }
}