Pith Number

pith:RK5XJ3H2

pith:2011:RK5XJ3H25KTHA3XFN4W443UQA3

not attested not anchored not stored refs pending

Phase diagram and structural diversity of the densest binary sphere packings

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

arxiv:1108.2210 v1 · 2011-08-10 · cond-mat.stat-mech · cond-mat.soft · physics.atm-clus

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RK5XJ3H25KTHA3XFN4W443UQA3}

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	2026-05-18T02:00:55.623192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8abb74ecfaeaa6706ee56f2dce6e9006d1af169c40941fcd26e115d0a99816fa

Aliases

arxiv: 1108.2210 · arxiv_version: 1108.2210v1 · doi: 10.48550/arxiv.1108.2210 · pith_short_12: RK5XJ3H25KTH · pith_short_16: RK5XJ3H25KTHA3XF · pith_short_8: RK5XJ3H2

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/RK5XJ3H25KTHA3XFN4W443UQA3 \
  | 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: 8abb74ecfaeaa6706ee56f2dce6e9006d1af169c40941fcd26e115d0a99816fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c617cc157ca6090bd173dcd50822b3d8f2fe3ac0c34a6c8c24aa0ef2b4d332",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.atm-clus"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-08-10T15:50:04Z",
    "title_canon_sha256": "a4822864febe7ce80d2f2a2b6634bfbcd360760d32d3907393ad9afcf151e27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2210",
    "kind": "arxiv",
    "version": 1
  }
}