Pith Number

pith:MOMN5HLG

pith:2013:MOMN5HLGGI2U52COZ4EZFCCP3Y

not attested not anchored not stored refs pending

Invariant and stationary measures for the SL(2,R) action on Moduli space

Alex Eskin, Maryam Mirzakhani

arxiv:1302.3320 v6 · 2013-02-14 · math.DS · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOMN5HLGGI2U52COZ4EZFCCP3Y}

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	2026-05-18T00:24:32.220428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6398de9d6632354ee84ecf0992884fde2aa9d79171ad45ca0434d3b952d5f440

Aliases

arxiv: 1302.3320 · arxiv_version: 1302.3320v6 · doi: 10.48550/arxiv.1302.3320 · pith_short_12: MOMN5HLGGI2U · pith_short_16: MOMN5HLGGI2U52CO · pith_short_8: MOMN5HLG

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/MOMN5HLGGI2U52COZ4EZFCCP3Y \
  | 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: 6398de9d6632354ee84ecf0992884fde2aa9d79171ad45ca0434d3b952d5f440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6a8db8a1d616d15e45cfe657a6409304a6693b19b538f703345fecb6d715d0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-14T06:36:59Z",
    "title_canon_sha256": "6c534a05a5182db1d4673f753283fd44e59764377269cddd2e5aa5a21c090174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3320",
    "kind": "arxiv",
    "version": 6
  }
}