Pith Number

pith:CMJ2XV5L

pith:2013:CMJ2XV5L627X24DZIHDDM34FKU

not attested not anchored not stored refs pending

Coherent configurations over copies of association schemes of prime order

Mitsugu Hirasaka, Reza Sharafdini

arxiv:1309.3725 v3 · 2013-09-15 · 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{CMJ2XV5L627X24DZIHDDM34FKU}

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	2026-05-18T01:11:00.592116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1313abd7abf6bf7d707941c6366f8555379b1add0d185ebd0f3e890084f1277e

Aliases

arxiv: 1309.3725 · arxiv_version: 1309.3725v3 · doi: 10.48550/arxiv.1309.3725 · pith_short_12: CMJ2XV5L627X · pith_short_16: CMJ2XV5L627X24DZ · pith_short_8: CMJ2XV5L

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/CMJ2XV5L627X24DZIHDDM34FKU \
  | 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: 1313abd7abf6bf7d707941c6366f8555379b1add0d185ebd0f3e890084f1277e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5321cee3ad0a10fcd17b39fdb969f39b1776fd7230e862fd4583f0af243ffc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-15T05:32:24Z",
    "title_canon_sha256": "e985886c9a233dcf2d3a0b9e60376f66336af970e707e67824c8655c2b8a3c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3725",
    "kind": "arxiv",
    "version": 3
  }
}