Pith Number

pith:G5DUCDYR

pith:2017:G5DUCDYRWRZBCMQ63XORIFGOCN

not attested not anchored not stored refs pending

Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard

Fran\c{c}oise P\`ene (LM)

arxiv:1705.05565 v1 · 2017-05-16 · 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{G5DUCDYRWRZBCMQ63XORIFGOCN}

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	2026-05-18T00:23:38.893137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3747410f11b47211321edddd1414ce136677faf18757a2a2ae3afbc8b9c55e9c

Aliases

arxiv: 1705.05565 · arxiv_version: 1705.05565v1 · doi: 10.48550/arxiv.1705.05565 · pith_short_12: G5DUCDYRWRZB · pith_short_16: G5DUCDYRWRZBCMQ6 · pith_short_8: G5DUCDYR

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/G5DUCDYRWRZBCMQ63XORIFGOCN \
  | 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: 3747410f11b47211321edddd1414ce136677faf18757a2a2ae3afbc8b9c55e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d728cdf33a42f592cf9aa87c6108dc2d42dccac7cfe41fadf4bbbe0e21931b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-16T07:48:14Z",
    "title_canon_sha256": "29cd528b6a0bc0261c504629d1be213f5c2cd9f7018c30d7aa8ad8c6e0141b93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05565",
    "kind": "arxiv",
    "version": 1
  }
}