Pith Number

pith:F737Q5HI

pith:2023:F737Q5HII4LNUJ5OL3GMNXI2YV

not attested not anchored not stored refs pending

Genericity of trivial Lyapunov spectrum for Lp-cocycles derived from second order linear homogeneous differential equations

Dinis Amaro, Helder Vilarinho, Mario Bessa

arxiv:2301.04905 v1 · 2023-01-12 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F737Q5HII4LNUJ5OL3GMNXI2YV}

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	2026-07-05T05:32:37.606485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff7f874e84716da27ae5eccc6dd1ac5715338a241279b97eaf8593c06d1c85a

Aliases

arxiv: 2301.04905 · arxiv_version: 2301.04905v1 · doi: 10.48550/arxiv.2301.04905 · pith_short_12: F737Q5HII4LN · pith_short_16: F737Q5HII4LNUJ5O · pith_short_8: F737Q5HI

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/F737Q5HII4LNUJ5OL3GMNXI2YV \
  | 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: 2ff7f874e84716da27ae5eccc6dd1ac5715338a241279b97eaf8593c06d1c85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47d1d5d25a38411e1ae511f76eedcae8e7a8d889c045af091ceab02ef3c18705",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-01-12T09:56:14Z",
    "title_canon_sha256": "135941125ec99e40a0509ba869dbdb80d5dcde1322699ceb34698d345740a6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.04905",
    "kind": "arxiv",
    "version": 1
  }
}