Pith Number

pith:J2KVBQPO

pith:2013:J2KVBQPODZTAXSKKR566BQP27I

not attested not anchored not stored refs pending

Lower Bounds for the Decay of Correlations in Non-uniformly Expanding Maps

Huyi Hu, Sandro Vaienti

arxiv:1307.0359 v3 · 2013-07-01 · 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{J2KVBQPODZTAXSKKR566BQP27I}

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	2026-05-18T00:34:16.396597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9550c1ee1e660bc94a8f7de0c1fafa0ea701a8c5bfa974fdafd81be273a015

Aliases

arxiv: 1307.0359 · arxiv_version: 1307.0359v3 · doi: 10.48550/arxiv.1307.0359 · pith_short_12: J2KVBQPODZTA · pith_short_16: J2KVBQPODZTAXSKK · pith_short_8: J2KVBQPO

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/J2KVBQPODZTAXSKKR566BQP27I \
  | 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: 4e9550c1ee1e660bc94a8f7de0c1fafa0ea701a8c5bfa974fdafd81be273a015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971a765385adeb213bb86e876dbbe337d5ee82f82dd583bba1368145ddac310f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-01T13:15:49Z",
    "title_canon_sha256": "50b746ba7b21f331a36464faa2074d4c8d7969e444277b25c9bb3736c984fde3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0359",
    "kind": "arxiv",
    "version": 3
  }
}