Pith Number

pith:Y76IY73L

pith:2013:Y76IY73LYDQDM7VPWH34YIPBPV

not attested not anchored not stored refs pending

Green-Kubo formula for weakly coupled system with dynamical noise

Carlangelo Liverani, Cedric Bernardin, Francois Huveneers, Joel L. Lebowitz, Stefano Olla

arxiv:1311.7384 v2 · 2013-11-28 · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y76IY73LYDQDM7VPWH34YIPBPV}

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	2026-05-18T02:47:40.826330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7fc8c7f6bc0e0367eafb1f7cc21e17d778e2a7067d74c38364fb6720a7c221d

Aliases

arxiv: 1311.7384 · arxiv_version: 1311.7384v2 · doi: 10.48550/arxiv.1311.7384 · pith_short_12: Y76IY73LYDQD · pith_short_16: Y76IY73LYDQDM7VP · pith_short_8: Y76IY73L

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/Y76IY73LYDQDM7VPWH34YIPBPV \
  | 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: c7fc8c7f6bc0e0367eafb1f7cc21e17d778e2a7067d74c38364fb6720a7c221d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3ed71a667112919ba784a0b542952c62b2d7f4151488b9f254311c85d44482",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-11-28T17:38:09Z",
    "title_canon_sha256": "801913128dcc4d41a3ec01739015cf9d3e210c49ee34387aa4cd2d9f035d9e34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7384",
    "kind": "arxiv",
    "version": 2
  }
}