Pith Number

pith:6PBVZ62D

pith:2011:6PBVZ62DHGK6DHMT3PBM63IXNC

not attested not anchored not stored refs pending

Rigidity of spherical codes

Abhinav Kumar, Henry Cohn, Salvatore Torquato, Yang Jiao

arxiv:1102.5060 v2 · 2011-02-24 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PBVZ62DHGK6DHMT3PBM63IXNC}

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	2026-05-18T02:38:18.229341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3c35cfb433995e19d93dbc2cf6d176880fd09426696e0348340d20a226d5f56

Aliases

arxiv: 1102.5060 · arxiv_version: 1102.5060v2 · doi: 10.48550/arxiv.1102.5060 · pith_short_12: 6PBVZ62DHGK6 · pith_short_16: 6PBVZ62DHGK6DHMT · pith_short_8: 6PBVZ62D

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/6PBVZ62DHGK6DHMT3PBM63IXNC \
  | 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: f3c35cfb433995e19d93dbc2cf6d176880fd09426696e0348340d20a226d5f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886ab7ba21cc882bd0e295fce8651776caf5277487c97112173a1f5fb170b575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-02-24T18:30:40Z",
    "title_canon_sha256": "d82cafeddf2f9d778ffdfd7edbf01d687021b5162aaa3e83f15130d405dac193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5060",
    "kind": "arxiv",
    "version": 2
  }
}