Pith Number

pith:NCD6RQ2I

pith:2010:NCD6RQ2ID7MK3PWB4HFGFBJMWU

not attested not anchored not stored refs pending

Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus

Maryam Mirzakhani

arxiv:1012.2167 v1 · 2010-12-10 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCD6RQ2ID7MK3PWB4HFGFBJMWU}

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.

Cited by

1 paper in Pith

String theory in the infrared

Receipt and verification

First computed	2026-05-18T04:33:38.401015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6887e8c3481fd8adbec1e1ca62852cb52454e828729ecf51bec3053305aec04d

Aliases

arxiv: 1012.2167 · arxiv_version: 1012.2167v1 · doi: 10.48550/arxiv.1012.2167 · pith_short_12: NCD6RQ2ID7MK · pith_short_16: NCD6RQ2ID7MK3PWB · pith_short_8: NCD6RQ2I

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/NCD6RQ2ID7MK3PWB4HFGFBJMWU \
  | 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: 6887e8c3481fd8adbec1e1ca62852cb52454e828729ecf51bec3053305aec04d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d672967e850462103b3633d0d00426b6cde58934e89b8e46c13824d4352f27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-12-10T03:18:17Z",
    "title_canon_sha256": "3fc9776ca0b736b7f963a18607068fbf24d07fbb5e0d5eb8b9a20992dfb0a3b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2167",
    "kind": "arxiv",
    "version": 1
  }
}