Pith Number

pith:H77CCPUR

pith:2015:H77CCPUR2PG4QDAUHHR4M7OUOC

not attested not anchored not stored refs pending

Maximal ambiguously k-colorable graphs

Matthias Kriesell

arxiv:1502.03555 v2 · 2015-02-12 · 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{H77CCPUR2PG4QDAUHHR4M7OUOC}

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	2026-05-18T01:11:55.222392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ffe213e91d3cdc80c1439e3c67dd470a076d6fce32e83afd8ce1eb59efe0745

Aliases

arxiv: 1502.03555 · arxiv_version: 1502.03555v2 · doi: 10.48550/arxiv.1502.03555 · pith_short_12: H77CCPUR2PG4 · pith_short_16: H77CCPUR2PG4QDAU · pith_short_8: H77CCPUR

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/H77CCPUR2PG4QDAUHHR4M7OUOC \
  | 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: 3ffe213e91d3cdc80c1439e3c67dd470a076d6fce32e83afd8ce1eb59efe0745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0d6fae40d4bfd8d1db04ae9a3895c03852bf262a29cd25982a5794e01ea2e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-12T07:43:26Z",
    "title_canon_sha256": "1b50fa1b2b54819d1efa1ed1fbe8f8bbed5850708a7486b45d3a8a826f12eff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03555",
    "kind": "arxiv",
    "version": 2
  }
}