Pith Number

pith:ONBCKJXJ

pith:2012:ONBCKJXJENW6BTMCDL4MVBKPG6

not attested not anchored not stored refs pending

An Algorithmic Approach to the Extensibility of Association Schemes

Manuel Arora, Paul-Hermann Zieschang

arxiv:1209.6312 v2 · 2012-09-27 · 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{ONBCKJXJENW6BTMCDL4MVBKPG6}

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.

Cited by

1 paper in Pith

Imprimitive association schemes and elimination theory

Receipt and verification

First computed	2026-05-18T03:44:33.150058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73422526e9236de0cd821af8ca854f37b0eb2e81004c0cd07e370d049b559209

Aliases

arxiv: 1209.6312 · arxiv_version: 1209.6312v2 · doi: 10.48550/arxiv.1209.6312 · pith_short_12: ONBCKJXJENW6 · pith_short_16: ONBCKJXJENW6BTMC · pith_short_8: ONBCKJXJ

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/ONBCKJXJENW6BTMCDL4MVBKPG6 \
  | 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: 73422526e9236de0cd821af8ca854f37b0eb2e81004c0cd07e370d049b559209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0051a9533dd97d239fbd9e9bab2a0db43015f7c5747e06b01ee0608687a26d6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-27T18:05:30Z",
    "title_canon_sha256": "e90c3926b2883d42b2f0493126af8c026ed15d686800e565f25766bd579b4ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6312",
    "kind": "arxiv",
    "version": 2
  }
}