Pith Number

pith:WDWXNMVP

pith:2010:WDWXNMVPBCG5DZN7VICGKHCRDZ

not attested not anchored not stored refs pending

Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond

Frank H. Stillinger, Salvatore Torquato

arxiv:1008.2982 v1 · 2010-08-17 · 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{WDWXNMVPBCG5DZN7VICGKHCRDZ}

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	2026-05-18T02:05:47.279454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ed76b2af088dd1e5bfaa04651c511e6adbcc2d550f8114e1b56f6d3d35437e

Aliases

arxiv: 1008.2982 · arxiv_version: 1008.2982v1 · doi: 10.48550/arxiv.1008.2982 · pith_short_12: WDWXNMVPBCG5 · pith_short_16: WDWXNMVPBCG5DZN7 · pith_short_8: WDWXNMVP

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/WDWXNMVPBCG5DZN7VICGKHCRDZ \
  | 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: b0ed76b2af088dd1e5bfaa04651c511e6adbcc2d550f8114e1b56f6d3d35437e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d82e99a204546ea577f5ae14a89cf2a166ac8ecf1af4fe4bf21cbc65425f5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-08-17T22:49:45Z",
    "title_canon_sha256": "9942e952cbd018a47345c808fedb3bb753ad80c1313ddeca36bba5d574a30892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2982",
    "kind": "arxiv",
    "version": 1
  }
}