Pith Number

pith:DC5IFGNN

pith:2013:DC5IFGNNW65QJSSYO376EVC4WK

not attested not anchored not stored refs pending

On the Godsil -- Higman necessary condition for equitable partitions of association schemes

Alexander L. Gavrilyuk, Ivan Yu. Mogilnykh

arxiv:1306.4179 v1 · 2013-06-18 · 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{DC5IFGNNW65QJSSYO376EVC4WK}

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	2026-05-18T03:20:36.897987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ba8299adb7bb04ca5876ffe2545cb29bbe96605f8b4685010b579350d9edb5

Aliases

arxiv: 1306.4179 · arxiv_version: 1306.4179v1 · doi: 10.48550/arxiv.1306.4179 · pith_short_12: DC5IFGNNW65Q · pith_short_16: DC5IFGNNW65QJSSY · pith_short_8: DC5IFGNN

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/DC5IFGNNW65QJSSYO376EVC4WK \
  | 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: 18ba8299adb7bb04ca5876ffe2545cb29bbe96605f8b4685010b579350d9edb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552ec04266db531a62dc19d8f58636209ba591fc2790fb8aa4521936ae994f08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-18T13:12:24Z",
    "title_canon_sha256": "0c2971731c26e6641f1ac9485aa84e1069cad4d27ca9c7d54cec03cad5a42ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4179",
    "kind": "arxiv",
    "version": 1
  }
}