Pith Number

pith:I4GWY4DA

pith:2010:I4GWY4DACDH26EEV4V3ZVATJ3E

not attested not anchored not stored refs pending

Densest local packing diversity. II. Application to three dimensions

Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato

arxiv:1009.3003 v1 · 2010-09-15 · cond-mat.stat-mech · cond-mat.soft · 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{I4GWY4DACDH26EEV4V3ZVATJ3E}

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	2026-05-18T03:23:37.082919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

470d6c706010cfaf1095e5779a8269d910331aebde8fcccac111c41cf4c5999e

Aliases

arxiv: 1009.3003 · arxiv_version: 1009.3003v1 · doi: 10.48550/arxiv.1009.3003 · pith_short_12: I4GWY4DACDH2 · pith_short_16: I4GWY4DACDH26EEV · pith_short_8: I4GWY4DA

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/I4GWY4DACDH26EEV4V3ZVATJ3E \
  | 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: 470d6c706010cfaf1095e5779a8269d910331aebde8fcccac111c41cf4c5999e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556551b043e85b375b0a989d5d0a47aec220988199204242ebff65da1ad082d2",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-15T19:27:28Z",
    "title_canon_sha256": "c740dbe14eb68ea2696950eebadf33a11f7d3b30abd9ebf187edf969a8b58c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3003",
    "kind": "arxiv",
    "version": 1
  }
}