Pith Number

pith:ZN6VJEVF

pith:2018:ZN6VJEVFS4MOIDCDNB2J4T4Q6S

not attested not anchored not stored refs pending

A random cocycle with non H\"older Lyapunov exponent

Manuel Santos, Pedro Duarte, Silvius Klein

arxiv:1811.02647 v1 · 2018-11-06 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN6VJEVFS4MOIDCDNB2J4T4Q6S}

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	2026-05-18T00:01:21.168569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7d5492a59718e40c4368749e4f90f480a57f0ea356ba18d898337f66cc8668

Aliases

arxiv: 1811.02647 · arxiv_version: 1811.02647v1 · doi: 10.48550/arxiv.1811.02647 · pith_short_12: ZN6VJEVFS4MO · pith_short_16: ZN6VJEVFS4MOIDCD · pith_short_8: ZN6VJEVF

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/ZN6VJEVFS4MOIDCDNB2J4T4Q6S \
  | 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: cb7d5492a59718e40c4368749e4f90f480a57f0ea356ba18d898337f66cc8668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8134dedc0ad5377cd5e877fff28e85b4adbbc35ca956209a0c990844b394ba12",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-06T21:03:42Z",
    "title_canon_sha256": "c6160a4ce3844644a99abf975bd1a753b34fd8926c349e32c4676fafbeaabab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02647",
    "kind": "arxiv",
    "version": 1
  }
}