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Pith Number

pith:IGJXLDW6

pith:2007:IGJXLDW6FQFL2E4JY46RP6BB5H
not attested not anchored not stored refs pending

The Einstein-Boltzmann Relation for Thermodynamic and Hydrodynamic Fluctuations

A. J. McKane, F. Vazquez, M. A. Olivares-Robles

arxiv:0710.5743 v2 · 2007-10-30 · cond-mat.stat-mech · cond-mat.mes-hall

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IGJXLDW6FQFL2E4JY46RP6BB5H}

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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 2026-05-18T02:16:10.071349Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4193758ede2c0abd1389c73d17f821e9e744fad93de48f9a0bba7e1ef8662ec2

Aliases

arxiv: 0710.5743 · arxiv_version: 0710.5743v2 · doi: 10.48550/arxiv.0710.5743 · pith_short_12: IGJXLDW6FQFL · pith_short_16: IGJXLDW6FQFL2E4J · pith_short_8: IGJXLDW6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IGJXLDW6FQFL2E4JY46RP6BB5H \
  | 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: 4193758ede2c0abd1389c73d17f821e9e744fad93de48f9a0bba7e1ef8662ec2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f54e51925be4fe4c753725bc3b0ce2d15e2a39c82b55a70aa3dda0f3fff157e1",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-10-30T19:48:26Z",
    "title_canon_sha256": "bc246847840911dd79a857ccc00ad7a5896414d1391eaab3a2534d995018626a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5743",
    "kind": "arxiv",
    "version": 2
  }
}