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Pith Number

pith:IYY6LPUO

pith:2012:IYY6LPUOSLTMYKOAAB7Z4B3DKB
not attested not anchored not stored refs pending

The Hatano-Sasa equality: transitions between steady states in a granular gas

Anne Mounier (Phys-ENS), Antoine Naert (Phys-ENS)

arxiv:1208.4039 v2 · 2012-08-17 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IYY6LPUOSLTMYKOAAB7Z4B3DKB}

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 2026-05-18T01:55:09.189101Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4631e5be8e92e6cc29c0007f9e07635076aa0ce7368a63369e16a44f5cfa686f

Aliases

arxiv: 1208.4039 · arxiv_version: 1208.4039v2 · doi: 10.48550/arxiv.1208.4039 · pith_short_12: IYY6LPUOSLTM · pith_short_16: IYY6LPUOSLTMYKOA · pith_short_8: IYY6LPUO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IYY6LPUOSLTMYKOAAB7Z4B3DKB \
  | 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: 4631e5be8e92e6cc29c0007f9e07635076aa0ce7368a63369e16a44f5cfa686f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "71eff4c38b5cceeceac581933e5fe8b2ed41bb488fc72700f219f49d2b6ff1b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-08-17T06:40:34Z",
    "title_canon_sha256": "46be4f812ce87c57d38438ce162558de685d3f95f0f5d838e09b9b1ade855d76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4039",
    "kind": "arxiv",
    "version": 2
  }
}