Pith Number

pith:HIWHOPOU

pith:2011:HIWHOPOUKSPC6DVCYTBD747DQZ

not attested not anchored not stored refs pending

Regular packings on periodic lattices

Martin Weigel, Rolf Schilling, Tadeus Ras

arxiv:1110.4775 v1 · 2011-10-21 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIWHOPOUKSPC6DVCYTBD747DQZ}

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	2026-05-18T04:07:42.849257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2c773dd4549e2f0ea2c4c23ff3e38669bc53437172b1a43502eb1e01726b76

Aliases

arxiv: 1110.4775 · arxiv_version: 1110.4775v1 · doi: 10.48550/arxiv.1110.4775 · pith_short_12: HIWHOPOUKSPC · pith_short_16: HIWHOPOUKSPC6DVC · pith_short_8: HIWHOPOU

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/HIWHOPOUKSPC6DVCYTBD747DQZ \
  | 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: 3a2c773dd4549e2f0ea2c4c23ff3e38669bc53437172b1a43502eb1e01726b76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda1385535cd4237a9cea647fc408d6db8d7af87a02f10644a56c255b7cae4da",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-21T12:30:01Z",
    "title_canon_sha256": "02cbaf102de3473696c7ae1060e608f0949529c55ff08fb94fec498fff0140a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4775",
    "kind": "arxiv",
    "version": 1
  }
}