Pith Number

pith:NKRT2FIS

pith:1996:NKRT2FISMMC5YVMXEKYUJXJAO3

not attested not anchored not stored refs pending

Thermodynamic formalism and localization in Lorentz gases and hopping models

C. Appert, H. van Beijeren, J.R. Dorfman, M.H. Ernst

arxiv:chao-dyn/9607019 v1 · 1996-07-31 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKRT2FISMMC5YVMXEKYUJXJAO3}

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	2026-05-18T00:34:45.392138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa33d15126305dc559722b144dd2076f40d722f92c20976eecd18e2af9a5e73

Aliases

arxiv: chao-dyn/9607019 · arxiv_version: chao-dyn/9607019v1 · doi: 10.48550/arxiv.chao-dyn/9607019 · pith_short_12: NKRT2FISMMC5 · pith_short_16: NKRT2FISMMC5YVMX · pith_short_8: NKRT2FIS

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/NKRT2FISMMC5YVMXEKYUJXJAO3 \
  | 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: 6aa33d15126305dc559722b144dd2076f40d722f92c20976eecd18e2af9a5e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4832a04df334a057019295059a8289b6af793689dc15b2c0a7a706b1d3df8c",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1996-07-31T16:19:42Z",
    "title_canon_sha256": "c04eca8f8d60648b124b172048026add19d7115baa98f4b8f62b8549c08ff4be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9607019",
    "kind": "arxiv",
    "version": 1
  }
}