Pith Number

pith:IKNJVSKB

pith:2009:IKNJVSKBQEGQTI3KO3HEOVYAUB

not attested not anchored not stored refs pending

Optimal Packings of Superballs

Frank Stillinger, Sal Torquato, Yang Jiao

arxiv:0902.1504 v1 · 2009-02-09 · cond-mat.soft · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKNJVSKBQEGQTI3KO3HEOVYAUB}

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	2026-05-18T02:14:48.639263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

429a9ac941810d09a36a76ce475700a04cd0b7aa458859ad620d7e3085f3da4d

Aliases

arxiv: 0902.1504 · arxiv_version: 0902.1504v1 · doi: 10.48550/arxiv.0902.1504 · pith_short_12: IKNJVSKBQEGQ · pith_short_16: IKNJVSKBQEGQTI3K · pith_short_8: IKNJVSKB

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/IKNJVSKBQEGQTI3KO3HEOVYAUB \
  | 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: 429a9ac941810d09a36a76ce475700a04cd0b7aa458859ad620d7e3085f3da4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbab33154680abfcf4ee2f6ba3fd6b7288cc59c0115c83a1bb7a6f8013b72c9c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2009-02-09T19:40:25Z",
    "title_canon_sha256": "bda22106f990e92956666fc2b89bcd6ba36d7c7b4fb83c961bfbf8dc51821bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1504",
    "kind": "arxiv",
    "version": 1
  }
}