Pith Number

pith:CQ2RRHLB

pith:2014:CQ2RRHLBV5KDIWZBGIHEKCXWTI

not attested not anchored not stored refs pending

Densest geodesic ball packings to $\mathbf{S}^2\!\times\!\mathbf{R}$ space groups generated by screw motions

Benedek Schultz, Jen\H{o} Szirmai

arxiv:1405.5441 v3 · 2014-05-19 · 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{CQ2RRHLBV5KDIWZBGIHEKCXWTI}

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	2026-05-18T02:48:18.937830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1435189d61af54345b21320e450af69a0d62767c3bbddb5027a4973164cce032

Aliases

arxiv: 1405.5441 · arxiv_version: 1405.5441v3 · doi: 10.48550/arxiv.1405.5441 · pith_short_12: CQ2RRHLBV5KD · pith_short_16: CQ2RRHLBV5KDIWZB · pith_short_8: CQ2RRHLB

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/CQ2RRHLBV5KDIWZBGIHEKCXWTI \
  | 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: 1435189d61af54345b21320e450af69a0d62767c3bbddb5027a4973164cce032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d2a2b9353fb3a613a0dff600da684c56e9092d5dcbab782933c631301e9eeef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-05-19T13:00:20Z",
    "title_canon_sha256": "336959f9d23384c14b835476f42c8cf2df96a69e9a236ae9aa132a3b48dcbbb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5441",
    "kind": "arxiv",
    "version": 3
  }
}