Pith Number

pith:UN5KCYKV

pith:2015:UN5KCYKVROR5RNNLZMAXPI7AH6

not attested not anchored not stored refs pending

Measurable rigidity of the cohomological equation for linear cocycles over hyperbolic systems

Clark Butler

arxiv:1510.07719 v5 · 2015-10-26 · 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{UN5KCYKVROR5RNNLZMAXPI7AH6}

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	2026-05-18T00:10:04.525123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37aa161558ba3d8b5abcb0177a3e03fbefabc6bce279ebe1e3c765200611ebd

Aliases

arxiv: 1510.07719 · arxiv_version: 1510.07719v5 · doi: 10.48550/arxiv.1510.07719 · pith_short_12: UN5KCYKVROR5 · pith_short_16: UN5KCYKVROR5RNNL · pith_short_8: UN5KCYKV

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/UN5KCYKVROR5RNNLZMAXPI7AH6 \
  | 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: a37aa161558ba3d8b5abcb0177a3e03fbefabc6bce279ebe1e3c765200611ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e4e6ee9c4c48ab4cf25f7a1b0e09f081c135b87d1b058323538459892ae403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-26T23:33:45Z",
    "title_canon_sha256": "4d16a623094cf581ed745688cbab367e6b68955e084d29788867c70f328590fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07719",
    "kind": "arxiv",
    "version": 5
  }
}