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Pith Number

pith:K5GPCLX5

pith:2011:K5GPCLX52EL2UC74BUTMHV75JA
not attested not anchored not stored refs pending

Structural properties of dense hard sphere packings

B.A. Klumov, G.E. Morfill, S.A. Khrapak

arxiv:1101.5545 v1 · 2011-01-28 · cond-mat.soft

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{K5GPCLX52EL2UC74BUTMHV75JA}

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 2026-05-18T02:03:20.811434Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

574cf12efdd117aa0bfc0d26c3d7fd481a27fcf42228a594b6413fc8d5a27a58

Aliases

arxiv: 1101.5545 · arxiv_version: 1101.5545v1 · doi: 10.48550/arxiv.1101.5545 · pith_short_12: K5GPCLX52EL2 · pith_short_16: K5GPCLX52EL2UC74 · pith_short_8: K5GPCLX5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/K5GPCLX52EL2UC74BUTMHV75JA \
  | 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: 574cf12efdd117aa0bfc0d26c3d7fd481a27fcf42228a594b6413fc8d5a27a58
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4aad334373f2e8f9f21c9974a27cdd8670fb9af4766b90622ba1a5578692639e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2011-01-28T14:58:45Z",
    "title_canon_sha256": "f0180a15573abbc2229d8ac9b818f1774d31264e8e01ca6df18105e0fd013e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5545",
    "kind": "arxiv",
    "version": 1
  }
}