Pith Number

pith:L5QEBZBA

pith:2009:L5QEBZBA32BJGQMV4YKSFNNQ3T

not attested not anchored not stored refs pending

Inside s-inner product sets and Euclidean designs

Hiroshi Nozaki

arxiv:0908.3801 v2 · 2009-08-26 · 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{L5QEBZBA32BJGQMV4YKSFNNQ3T}

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	2026-05-18T04:24:04.196985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f6040e420de82934195e61522b5b0dceb3cc3edc334ae7aa2c037e9f9984085

Aliases

arxiv: 0908.3801 · arxiv_version: 0908.3801v2 · doi: 10.48550/arxiv.0908.3801 · pith_short_12: L5QEBZBA32BJ · pith_short_16: L5QEBZBA32BJGQMV · pith_short_8: L5QEBZBA

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/L5QEBZBA32BJGQMV4YKSFNNQ3T \
  | 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: 5f6040e420de82934195e61522b5b0dceb3cc3edc334ae7aa2c037e9f9984085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02992c739039c14af99089b6060d7fa5926b4b4ae2eead7bdb798715fa95850",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-26T12:11:05Z",
    "title_canon_sha256": "b1cf393e06eaf5ff72de014c1ffd928c2b5d39fdf2916d39876bff34075ecd55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3801",
    "kind": "arxiv",
    "version": 2
  }
}