Pith Number

pith:I5TG5JLQ

pith:2012:I5TG5JLQYOGQSPSKK66467XMRP

not attested not anchored not stored refs pending

On manifolds supporting distributionally uniquely ergodic diffeomorphisms

Alejandro Kocsard, Artur Avila, Bassam Fayad

arxiv:1211.1519 v1 · 2012-11-07 · 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{I5TG5JLQYOGQSPSKK66467XMRP}

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	2026-05-18T03:41:19.793661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47666ea570c38d093e4a57bdcf7eec8bf3164e30ebd6080685b0786eb5aeb4e3

Aliases

arxiv: 1211.1519 · arxiv_version: 1211.1519v1 · doi: 10.48550/arxiv.1211.1519 · pith_short_12: I5TG5JLQYOGQ · pith_short_16: I5TG5JLQYOGQSPSK · pith_short_8: I5TG5JLQ

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/I5TG5JLQYOGQSPSKK66467XMRP \
  | 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: 47666ea570c38d093e4a57bdcf7eec8bf3164e30ebd6080685b0786eb5aeb4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f84719d1316f2d647bb8dee4533b276725075cc108bbef792b301b17df0541",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-07T12:21:42Z",
    "title_canon_sha256": "e0b03ed5a3fe0b26bacdd61b2489d50faa82c3a9a111f7b5cd1388e9df988a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1519",
    "kind": "arxiv",
    "version": 1
  }
}