Pith Number

pith:KU2C52MO

pith:2016:KU2C52MOAXFM2SCEBGKZNPZZJZ

not attested not anchored not stored refs pending

Counting Mapping Class group orbits on hyperbolic surfaces

Maryam Mirzakhani

arxiv:1601.03342 v1 · 2016-01-13 · 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{KU2C52MOAXFM2SCEBGKZNPZZJZ}

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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.

Cited by

3 papers in Pith

Integrals of general geometric random variables on the moduli space of hyperbolic surfaces

Large genus asymptotics for frequency of non-simple curves

Counting Minimal Lagrangians Via Mirzakhani Functions

Receipt and verification

First computed	2026-05-18T01:22:54.738419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55342ee98e05cacd4844099596bf394e417957295a4b4de1071fca7c18bb74cf

Aliases

arxiv: 1601.03342 · arxiv_version: 1601.03342v1 · doi: 10.48550/arxiv.1601.03342 · pith_short_12: KU2C52MOAXFM · pith_short_16: KU2C52MOAXFM2SCE · pith_short_8: KU2C52MO

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/KU2C52MOAXFM2SCEBGKZNPZZJZ \
  | 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: 55342ee98e05cacd4844099596bf394e417957295a4b4de1071fca7c18bb74cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fd616fbf78c060b7eb91ff55078abc6da042766810bcde22e66bf82c563565",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-13T18:36:08Z",
    "title_canon_sha256": "900b70fa24c77923b71c15bf39e766f188f65debc2270f4954159777fd5e5321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03342",
    "kind": "arxiv",
    "version": 1
  }
}