Pith Number

pith:5M7EUXRK

pith:2016:5M7EUXRKXEE2PU2LKI7LWM7NDP

not attested not anchored not stored refs pending

Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps

Marcelo Viana, Mauricio Poletti

arxiv:1610.05294 v2 · 2016-10-17 · 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{5M7EUXRKXEE2PU2LKI7LWM7NDP}

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	2026-05-18T00:01:30.700787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb3e4a5e2ab909a7d34b523ebb33ed1bde6f24c829c98f680b50270608ddf120

Aliases

arxiv: 1610.05294 · arxiv_version: 1610.05294v2 · doi: 10.48550/arxiv.1610.05294 · pith_short_12: 5M7EUXRKXEE2 · pith_short_16: 5M7EUXRKXEE2PU2L · pith_short_8: 5M7EUXRK

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/5M7EUXRKXEE2PU2LKI7LWM7NDP \
  | 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: eb3e4a5e2ab909a7d34b523ebb33ed1bde6f24c829c98f680b50270608ddf120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d2c1019237a88d62b326850b99d5c5d03607b80e0f100c9d260daf95032080",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-17T19:53:58Z",
    "title_canon_sha256": "fafeacab2d6f78d2140dbe7063c959fb5259910c73c19144dc6cd02120c2352d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05294",
    "kind": "arxiv",
    "version": 2
  }
}