Pith Number

pith:RJDXPRD5

pith:2015:RJDXPRD53RT3V6TO7RS3CMVZ5Y

not attested not anchored not stored refs pending

Lyapunov exponents for families of rotated linear cocycles

Carlos H. V\'asquez, Pancho Valenzuela-Henr\'iquez

arxiv:1503.07080 v1 · 2015-03-24 · 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{RJDXPRD53RT3V6TO7RS3CMVZ5Y}

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	2026-05-18T02:20:29.428286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4777c47ddc67bafa6efc65b132b9ee2adbc38c008ae3dfc41d9d14031817bc

Aliases

arxiv: 1503.07080 · arxiv_version: 1503.07080v1 · doi: 10.48550/arxiv.1503.07080 · pith_short_12: RJDXPRD53RT3 · pith_short_16: RJDXPRD53RT3V6TO · pith_short_8: RJDXPRD5

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/RJDXPRD53RT3V6TO7RS3CMVZ5Y \
  | 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: 8a4777c47ddc67bafa6efc65b132b9ee2adbc38c008ae3dfc41d9d14031817bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b0400b395ace5c749e49b59c361c42bb55ff6940c8fbd7221c87fef06f2c65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-24T15:36:35Z",
    "title_canon_sha256": "da2f59954400d7a07870e37f911ff57310e946b9dac5b5c351ca276bb39e68c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07080",
    "kind": "arxiv",
    "version": 1
  }
}