Pith Number

pith:BDHJWVBN

pith:2019:BDHJWVBN47FXA36HJT2OFTHRPP

not attested not anchored not stored refs pending

Effective counting of simple closed geodesics on hyperbolic surfaces

Alex Eskin, Amir Mohammadi, Maryam Mirzakhani

arxiv:1905.04435 v2 · 2019-05-11 · math.GT · 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{BDHJWVBN47FXA36HJT2OFTHRPP}

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

Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves

Receipt and verification

First computed	2026-07-05T02:54:48.615222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ce9b542de7cb706fc74cf4e2ccf17bc640055a5fca230cd9791a441ba597b1

Aliases

arxiv: 1905.04435 · arxiv_version: 1905.04435v2 · doi: 10.48550/arxiv.1905.04435 · pith_short_12: BDHJWVBN47FX · pith_short_16: BDHJWVBN47FXA36H · pith_short_8: BDHJWVBN

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/BDHJWVBN47FXA36HJT2OFTHRPP \
  | 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: 08ce9b542de7cb706fc74cf4e2ccf17bc640055a5fca230cd9791a441ba597b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762e43ca85e3b3f8aabcb7c18b1f382aa045cade6ff3b6471a995067bf4175bf",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-11T03:15:29Z",
    "title_canon_sha256": "596b502da7e7a89c28c4551fab9c7e33cea9cfc5af206f36361a255576acdc0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04435",
    "kind": "arxiv",
    "version": 2
  }
}