Pith Number

pith:64JWLJBO

pith:2007:64JWLJBOS6EI76MBP3KCOK7PDX

not attested not anchored not stored refs pending

On tight projective designs

Yuri I. Lyubich

arxiv:math/0703526 v1 · 2007-03-18 · 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{64JWLJBOS6EI76MBP3KCOK7PDX}

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

Optimal measures for p-frame energies on spheres

Receipt and verification

First computed	2026-07-04T15:00:16.538651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71365a42e97888ff9817ed4272bef1dc2342db25ce133e18d647bd89e538ec0

Aliases

arxiv: math/0703526 · arxiv_version: math/0703526v1 · doi: 10.48550/arxiv.math/0703526 · pith_short_12: 64JWLJBOS6EI · pith_short_16: 64JWLJBOS6EI76MB · pith_short_8: 64JWLJBO

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/64JWLJBOS6EI76MBP3KCOK7PDX \
  | 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: f71365a42e97888ff9817ed4272bef1dc2342db25ce133e18d647bd89e538ec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ff14d78ff36b7df23e62b19b9d04f295c3b5cd2fef2e2c40a04f21b2fa2559",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-03-18T19:40:28Z",
    "title_canon_sha256": "b5c8b4dd6b3465c10047601aba40ffa51d7081662af1f2b05067768cb4f37aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703526",
    "kind": "arxiv",
    "version": 1
  }
}