Pith Number

pith:JDFNXC67

pith:2015:JDFNXC676FIWLHUUEENHD7MKLB

not attested not anchored not stored refs pending

Lyapunov exponents of stochastic systems---from micro to macro

Fr\'ed\'eric van Wijland, Julien Tailleur, Tanguy Laffargue

arxiv:1510.01474 v1 · 2015-10-06 · cond-mat.stat-mech · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDFNXC676FIWLHUUEENHD7MKLB}

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	2026-05-18T01:16:48.267693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48cadb8bdff151659e94211a71fd8a584e954b324308bfa6e5caea8dd9baf43c

Aliases

arxiv: 1510.01474 · arxiv_version: 1510.01474v1 · doi: 10.48550/arxiv.1510.01474 · pith_short_12: JDFNXC676FIW · pith_short_16: JDFNXC676FIWLHUU · pith_short_8: JDFNXC67

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/JDFNXC676FIWLHUUEENHD7MKLB \
  | 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: 48cadb8bdff151659e94211a71fd8a584e954b324308bfa6e5caea8dd9baf43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b10b464d849db1e2ba6e1928a3f18d39298d1f2c30b45522cf7b8863155932",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-06T08:27:38Z",
    "title_canon_sha256": "022504d7b0abe318585feabbeb809917053f30e61c67e02eee4ad30ceff970ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01474",
    "kind": "arxiv",
    "version": 1
  }
}