Pith Number

pith:PGNZA2JF

pith:2009:PGNZA2JF4S4OS7HD5HJINY2ESM

not attested not anchored not stored refs pending

Thermodynamic formalism for contracting Lorenz flows

Maria Jose Pacifico, Mike Todd

arxiv:0911.4111 v1 · 2009-11-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGNZA2JF4S4OS7HD5HJINY2ESM}

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	2026-05-18T02:10:37.971273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799b906925e4b8e97ce3e9d286e3449333c695df96a66cfcf3950a6c7af57c8b

Aliases

arxiv: 0911.4111 · arxiv_version: 0911.4111v1 · doi: 10.48550/arxiv.0911.4111 · pith_short_12: PGNZA2JF4S4O · pith_short_16: PGNZA2JF4S4OS7HD · pith_short_8: PGNZA2JF

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/PGNZA2JF4S4OS7HD5HJINY2ESM \
  | 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: 799b906925e4b8e97ce3e9d286e3449333c695df96a66cfcf3950a6c7af57c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124f3cd540424898d72b70ae6031e4016898aa4af264cc10f8598f8ece231a1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-11-20T19:57:30Z",
    "title_canon_sha256": "fe5710f6f4fd2ef41dcad5fe8cbbcef53437c4d8894807a33329ae1cc1ac53e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4111",
    "kind": "arxiv",
    "version": 1
  }
}