Pith Number

pith:W7FFOYD4

pith:2010:W7FFOYD4VBK3HJY45OLO7XC323

not attested not anchored not stored refs pending

Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming

Sal Torquato, Yang Jiao

arxiv:1008.2747 v2 · 2010-08-16 · cond-mat.stat-mech · cond-mat.mtrl-sci · 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{W7FFOYD4VBK3HJY45OLO7XC323}

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	2026-05-18T04:33:26.872447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ca57607ca855b3a71ceb96efdc5bd6c1d9e4f3ae3c1c35a2d0f4e0ebd4bd35

Aliases

arxiv: 1008.2747 · arxiv_version: 1008.2747v2 · doi: 10.48550/arxiv.1008.2747 · pith_short_12: W7FFOYD4VBK3 · pith_short_16: W7FFOYD4VBK3HJY4 · pith_short_8: W7FFOYD4

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/W7FFOYD4VBK3HJY45OLO7XC323 \
  | 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: b7ca57607ca855b3a71ceb96efdc5bd6c1d9e4f3ae3c1c35a2d0f4e0ebd4bd35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b40505e8ade936fb8060b6e2cc2f8a58ee5f180756b3b0f5a716ffd2451932f",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-08-16T19:42:32Z",
    "title_canon_sha256": "7b26caaa68e8e04afadd9d68cd35bceb319cf1ba5587019b5c3f2bddfa3e55d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2747",
    "kind": "arxiv",
    "version": 2
  }
}