Pith Number

pith:H7CLPG4A

pith:2017:H7CLPG4ALEVQWBWVUGHNGUSWYV

not attested not anchored not stored refs pending

Continuous Association Schemes and Hypergroups

Michael Voit

arxiv:1708.01177 v1 · 2017-08-03 · math.GR · math.CA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7CLPG4ALEVQWBWVUGHNGUSWYV}

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	2026-05-17T23:45:53.478602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc4b79b80592b0b06d5a18ed35256c54be2ebfd63c4c7e7970468910d697087

Aliases

arxiv: 1708.01177 · arxiv_version: 1708.01177v1 · doi: 10.48550/arxiv.1708.01177 · pith_short_12: H7CLPG4ALEVQ · pith_short_16: H7CLPG4ALEVQWBWV · pith_short_8: H7CLPG4A

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/H7CLPG4ALEVQWBWVUGHNGUSWYV \
  | 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: 3fc4b79b80592b0b06d5a18ed35256c54be2ebfd63c4c7e7970468910d697087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3069aa882f22b4bf1e063aa26464a0b99911e6daaa5a491a709afec6547f73e4",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-03T15:16:05Z",
    "title_canon_sha256": "c803f89f3a26991e3974beecb67044c4499c9fe6124eb7a361956d1a6fb6079a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01177",
    "kind": "arxiv",
    "version": 1
  }
}