Pith Number

pith:IYCHUR3X

pith:2015:IYCHUR3XN5FQJ7VPPOXF24VW3R

not attested not anchored not stored refs pending

Rigidity of equality of Lyapunov exponents for geodesic flows

Clark Butler

arxiv:1501.05997 v4 · 2015-01-24 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYCHUR3XN5FQJ7VPPOXF24VW3R}

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	2026-05-18T01:28:34.628755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46047a47776f4b04feaf7bae5d72b6dc6ae7f05f05caf07f3d1790e35e0b0c22

Aliases

arxiv: 1501.05997 · arxiv_version: 1501.05997v4 · doi: 10.48550/arxiv.1501.05997 · pith_short_12: IYCHUR3XN5FQ · pith_short_16: IYCHUR3XN5FQJ7VP · pith_short_8: IYCHUR3X

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/IYCHUR3XN5FQJ7VPPOXF24VW3R \
  | 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: 46047a47776f4b04feaf7bae5d72b6dc6ae7f05f05caf07f3d1790e35e0b0c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15469697440936f0fe82031d5e0cbab2a8620ac98671c02e40a88baec004773",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-24T03:56:32Z",
    "title_canon_sha256": "5aef7ba1f9decf6119ed4f4abf598ae8576466b23af06fd1983db72817f35368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05997",
    "kind": "arxiv",
    "version": 4
  }
}