Pith Number

pith:S4RYYVFC

pith:2009:S4RYYVFCM2TPJROEGLFJADUZV7

not attested not anchored not stored refs pending

A generalization of Larman-Rogers-Seidel's theorem

Hiroshi Nozaki

arxiv:0912.2387 v3 · 2009-12-12 · math.MG · 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{S4RYYVFCM2TPJROEGLFJADUZV7}

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	2026-05-18T04:30:26.467203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97238c54a266a6f4c5c432ca900e99afeff4d3f2e45acb4db73806557d758911

Aliases

arxiv: 0912.2387 · arxiv_version: 0912.2387v3 · doi: 10.48550/arxiv.0912.2387 · pith_short_12: S4RYYVFCM2TP · pith_short_16: S4RYYVFCM2TPJROE · pith_short_8: S4RYYVFC

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/S4RYYVFCM2TPJROEGLFJADUZV7 \
  | 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: 97238c54a266a6f4c5c432ca900e99afeff4d3f2e45acb4db73806557d758911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf166075ae007dafea92699eb3e0e2d8e6ed2ac0f3c158ae33fdbcee080bd58",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-12-12T01:26:54Z",
    "title_canon_sha256": "8a283ce3ee65b78e3690c6150b4b6e19016ef10ecfbf2867c123b59216855cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2387",
    "kind": "arxiv",
    "version": 3
  }
}