Pith Number

pith:XWQQLL7G

pith:2013:XWQQLL7GEERPWT5OU7SI2EON24

not attested not anchored not stored refs pending

Random close packing fractions of lognormal distributions of hard spheres

Robert S. Farr

arxiv:1306.1442 v1 · 2013-06-06 · cond-mat.mtrl-sci · 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{XWQQLL7GEERPWT5OU7SI2EON24}

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	2026-05-18T03:21:34.197868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda105afe62122fb4faea7e48d11cdd724a8058e42b1dd45b4e9d14265195a2c

Aliases

arxiv: 1306.1442 · arxiv_version: 1306.1442v1 · doi: 10.48550/arxiv.1306.1442 · pith_short_12: XWQQLL7GEERP · pith_short_16: XWQQLL7GEERPWT5O · pith_short_8: XWQQLL7G

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/XWQQLL7GEERPWT5OU7SI2EON24 \
  | 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: bda105afe62122fb4faea7e48d11cdd724a8058e42b1dd45b4e9d14265195a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "378c54d86a92a3823be5c28a6c442a0ea109810bdceb13079aa25e0c9b9ede79",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2013-06-06T15:44:13Z",
    "title_canon_sha256": "3067ffcde1b7ae517f856586f607c407fcd2afca1e4c02affb2345259a8eeaae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1442",
    "kind": "arxiv",
    "version": 1
  }
}