Pith Number

pith:CCY52V42

pith:2016:CCY52V422232KPVVA7H3MXODDT

not attested not anchored not stored refs pending

Association schemes all of whose symmetric fusion schemes are integral

Kijung Kim, Mitsugu Hirasaka, Semin Oh

arxiv:1608.08343 v2 · 2016-08-30 · 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{CCY52V422232KPVVA7H3MXODDT}

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	2026-05-18T00:45:22.389564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10b1dd579ad6b7a53eb507cfb65dc31cf57a8ead179862e9a35fc2f188a47ec5

Aliases

arxiv: 1608.08343 · arxiv_version: 1608.08343v2 · doi: 10.48550/arxiv.1608.08343 · pith_short_12: CCY52V422232 · pith_short_16: CCY52V422232KPVV · pith_short_8: CCY52V42

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/CCY52V422232KPVVA7H3MXODDT \
  | 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: 10b1dd579ad6b7a53eb507cfb65dc31cf57a8ead179862e9a35fc2f188a47ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5309d283b85542b40f5febbcd0abeb9bfaac3c9b1c891128596e21edb1addf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-30T06:40:47Z",
    "title_canon_sha256": "bcc65f99ca0f35e10db41dd51702937cd1a5c77d0c65a24d8769326969e04aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08343",
    "kind": "arxiv",
    "version": 2
  }
}