Pith Number

pith:LDLBEITH

pith:2012:LDLBEITHNWMZQZRFNXKIGERDBK

not attested not anchored not stored refs pending

Exponential speed of mixing for skew-products with singularities

J. Vieitez, M. J. Pacifico, R. Markarian

arxiv:1202.2162 v1 · 2012-02-10 · 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{LDLBEITHNWMZQZRFNXKIGERDBK}

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	2026-05-18T01:58:31.457262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d61222676d999866256dd48312230a9a8f9967ec98b44da6e441b028b45a53

Aliases

arxiv: 1202.2162 · arxiv_version: 1202.2162v1 · doi: 10.48550/arxiv.1202.2162 · pith_short_12: LDLBEITHNWMZ · pith_short_16: LDLBEITHNWMZQZRF · pith_short_8: LDLBEITH

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/LDLBEITHNWMZQZRFNXKIGERDBK \
  | 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: 58d61222676d999866256dd48312230a9a8f9967ec98b44da6e441b028b45a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e7bba0777988c5d8e0cfeb1a04fbc2837ded2b24fb9ab331ee43c1d79c9dfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-10T00:41:45Z",
    "title_canon_sha256": "637848f78e6f1b949548f87509344fc3b67c4fc8628b291f4f33a638c83edd2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2162",
    "kind": "arxiv",
    "version": 1
  }
}