Pith Number

pith:J7BC7PIV

pith:2015:J7BC7PIV2745Q3WM4C4XJGXXES

not attested not anchored not stored refs pending

Equitable Decompositions of Graphs

Amanda Francis, Ben Webb, Wayne Barrett

arxiv:1510.04366 v2 · 2015-10-15 · 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{J7BC7PIV2745Q3WM4C4XJGXXES}

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	2026-05-18T01:03:06.399405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc22fbd15d7f9d86ecce0b9749af724b63f80361664c0d7df493764fc0491f9

Aliases

arxiv: 1510.04366 · arxiv_version: 1510.04366v2 · doi: 10.48550/arxiv.1510.04366 · pith_short_12: J7BC7PIV2745 · pith_short_16: J7BC7PIV2745Q3WM · pith_short_8: J7BC7PIV

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/J7BC7PIV2745Q3WM4C4XJGXXES \
  | 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: 4fc22fbd15d7f9d86ecce0b9749af724b63f80361664c0d7df493764fc0491f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df122e0c93b13e52031bb4a1d7c7dab1cad3f89dc99a3e136b614181dc408fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-15T00:53:54Z",
    "title_canon_sha256": "e7ca244242624f41c0570548cb0672635c8099396679f1fc048443826ace5b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04366",
    "kind": "arxiv",
    "version": 2
  }
}