Pith Number

pith:QPFLZIC5

pith:2008:QPFLZIC5NBTES6NTRQZMTZASKK

not attested not anchored not stored refs pending

New asymptotic estimates for spherical designs

Andriy V. Bondarenko, Maryna S. Viazovska

arxiv:0811.0168 v1 · 2008-11-02 · math.NA · cs.NA · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPFLZIC5NBTES6NTRQZMTZASKK}

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	2026-06-03T23:06:08.475706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83cabca05d68664979b38c32c9e4125284e4e810991cbd2454b6cb63aec7d8b0

Aliases

arxiv: 0811.0168 · arxiv_version: 0811.0168v1 · doi: 10.48550/arxiv.0811.0168 · pith_short_12: QPFLZIC5NBTE · pith_short_16: QPFLZIC5NBTES6NT · pith_short_8: QPFLZIC5

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/QPFLZIC5NBTES6NTRQZMTZASKK \
  | 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: 83cabca05d68664979b38c32c9e4125284e4e810991cbd2454b6cb63aec7d8b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4606082f09613809c96bca2a5d9d47a074320a4416c8d790349b00eb090993e9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.GM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-11-02T15:01:00Z",
    "title_canon_sha256": "dc364533d3cee4e87a396c2c67628aecef20a6db25f6007c747009ebf0cc96a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0168",
    "kind": "arxiv",
    "version": 1
  }
}