Pith Number

pith:EQGPSAO6

pith:2012:EQGPSAO6TCZMC7AVSJI5YWEW6O

not attested not anchored not stored refs pending

Counting edge-Kempe-equivalence classes for 3-edge-colored cubic graphs

Ruth Haas, Sarah-Marie Belcastro

arxiv:1209.1730 v1 · 2012-09-08 · 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{EQGPSAO6TCZMC7AVSJI5YWEW6O}

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	2026-05-18T03:45:54.510070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240cf901de98b2c17c159251dc5896f3a4111802396f3acd54316648418a7374

Aliases

arxiv: 1209.1730 · arxiv_version: 1209.1730v1 · doi: 10.48550/arxiv.1209.1730 · pith_short_12: EQGPSAO6TCZM · pith_short_16: EQGPSAO6TCZMC7AV · pith_short_8: EQGPSAO6

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/EQGPSAO6TCZMC7AVSJI5YWEW6O \
  | 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: 240cf901de98b2c17c159251dc5896f3a4111802396f3acd54316648418a7374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8864765fa8341206bc3aee7abfbb0c929ce52a5318b51978c4ee52d4fb2320ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-08T16:17:01Z",
    "title_canon_sha256": "fe161de3380232315488a3136b9946719d5042bfdab06e6ec762f84cc736bf4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1730",
    "kind": "arxiv",
    "version": 1
  }
}