pith. sign in
Pith Number

pith:RYVVB3IO

pith:2013:RYVVB3IOXH63IJHT4ISPBEREXI
not attested not anchored not stored refs pending

Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition

Francesco Zamponi, Giorgio Parisi, Jorge Kurchan, Pierfrancesco Urbani

arxiv:1303.1028 v2 · 2013-03-05 · cond-mat.stat-mech · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RYVVB3IOXH63IJHT4ISPBEREXI}

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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 2026-05-18T03:06:03.375883Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e2b50ed0eb9fdb424f3e224f09224ba001bf7b72073143591eb8eff33cae588

Aliases

arxiv: 1303.1028 · arxiv_version: 1303.1028v2 · doi: 10.48550/arxiv.1303.1028 · pith_short_12: RYVVB3IOXH63 · pith_short_16: RYVVB3IOXH63IJHT · pith_short_8: RYVVB3IO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RYVVB3IOXH63IJHT4ISPBEREXI \
  | 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: 8e2b50ed0eb9fdb424f3e224f09224ba001bf7b72073143591eb8eff33cae588
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "392f6b3f8e32067af2ca1acd1310e5b05cb1b72ad89d9921c1747ca567709c4c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-03-05T13:29:46Z",
    "title_canon_sha256": "a6a73dbee1eb6d48ea1061247ad9f9c877d98e5ed88cc583ce657c6f8a8ad5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1028",
    "kind": "arxiv",
    "version": 2
  }
}