Pith Number

pith:4COCQMKP

pith:2015:4COCQMKPUV7WKZ47IIOUXRLWZX

not attested not anchored not stored refs pending

Equistarable bipartite graphs

Endre Boros, Martin Milani\v{c}, Nina Chiarelli

arxiv:1502.06343 v1 · 2015-02-23 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4COCQMKPUV7WKZ47IIOUXRLWZX}

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	2026-05-18T02:26:37.501073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09c28314fa57f65679f421d4bc576cdd9d57e8ca45b7913956d7581a27b1c1c

Aliases

arxiv: 1502.06343 · arxiv_version: 1502.06343v1 · doi: 10.48550/arxiv.1502.06343 · pith_short_12: 4COCQMKPUV7W · pith_short_16: 4COCQMKPUV7WKZ47 · pith_short_8: 4COCQMKP

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/4COCQMKPUV7WKZ47IIOUXRLWZX \
  | 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: e09c28314fa57f65679f421d4bc576cdd9d57e8ca45b7913956d7581a27b1c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dbff81e50fde9cb0679b695bed89e394c5e987b2a7d0a13e873f63da8b452ee",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-23T08:38:48Z",
    "title_canon_sha256": "c1b752dd747a1ef63f9869b35c6f0430d3396cf8d6f345b7d71094e62ec4d00b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06343",
    "kind": "arxiv",
    "version": 1
  }
}