Pith Number

pith:OV2NNSAC

pith:2013:OV2NNSACGQ3UQMYGCM3Y6OPBNH

not attested not anchored not stored refs pending

SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are regular

Artur Avila, Carlos Matheus, Jean-Christophe Yoccoz

arxiv:1302.4091 v2 · 2013-02-17 · 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{OV2NNSACGQ3UQMYGCM3Y6OPBNH}

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	2026-05-18T03:05:35.681000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7574d6c802343748330613378f39e169d5cf291739e90a4dc0a196ab6c88899c

Aliases

arxiv: 1302.4091 · arxiv_version: 1302.4091v2 · doi: 10.48550/arxiv.1302.4091 · pith_short_12: OV2NNSACGQ3U · pith_short_16: OV2NNSACGQ3UQMYG · pith_short_8: OV2NNSAC

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/OV2NNSACGQ3UQMYGCM3Y6OPBNH \
  | 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: 7574d6c802343748330613378f39e169d5cf291739e90a4dc0a196ab6c88899c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7e6c20c57b2ceae235cb477ddb9890ef405d0c66c7ca4e6b8f933e9e24a5f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-17T17:14:01Z",
    "title_canon_sha256": "4bdab2d636794e5e25a9cf8dd831b8088d57d5a0e498bbf3504fb840bad27106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4091",
    "kind": "arxiv",
    "version": 2
  }
}