Pith Number

pith:K52O4P5G

pith:2015:K52O4P5GWKNRC7HF4PIB7BTDRM

not attested not anchored not stored refs pending

Local colourings and monochromatic partitions in complete bipartite graphs

Maya Stein, Richard Lang

arxiv:1501.05619 v2 · 2015-01-22 · 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{K52O4P5GWKNRC7HF4PIB7BTDRM}

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	2026-05-18T01:04:50.671521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5774ee3fa6b29b117ce5e3d01f86638b0762abf5451fba075343adbd229c1818

Aliases

arxiv: 1501.05619 · arxiv_version: 1501.05619v2 · doi: 10.48550/arxiv.1501.05619 · pith_short_12: K52O4P5GWKNR · pith_short_16: K52O4P5GWKNRC7HF · pith_short_8: K52O4P5G

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/K52O4P5GWKNRC7HF4PIB7BTDRM \
  | 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: 5774ee3fa6b29b117ce5e3d01f86638b0762abf5451fba075343adbd229c1818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713534ac7a43ee7194a0b18ca58ea122aac12978bfcfbe3de9584f6659b2fa1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-22T20:09:27Z",
    "title_canon_sha256": "c05f3e10beb8f5f212d072f9d51a8744b0de7472e9d4c934ebc019614375d3a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05619",
    "kind": "arxiv",
    "version": 2
  }
}