Pith Number

pith:YOSWXEJZ

pith:2017:YOSWXEJZ35ZXKO6GORJJSEF3KT

not attested not anchored not stored refs pending

Hyperbolic components of rational maps: Quantitative equidistribution and counting

Gabriel Vigny, Thomas Gauthier, Y\^usuke Okuyama

arxiv:1705.05276 v2 · 2017-05-15 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOSWXEJZ35ZXKO6GORJJSEF3KT}

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	2026-05-18T00:44:22.854267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a56b9139df73753bc674529910bb54fe071858425a86b2f8d5e967084462fc

Aliases

arxiv: 1705.05276 · arxiv_version: 1705.05276v2 · doi: 10.48550/arxiv.1705.05276 · pith_short_12: YOSWXEJZ35ZX · pith_short_16: YOSWXEJZ35ZXKO6G · pith_short_8: YOSWXEJZ

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/YOSWXEJZ35ZXKO6GORJJSEF3KT \
  | 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: c3a56b9139df73753bc674529910bb54fe071858425a86b2f8d5e967084462fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "539c4a1e63d8b84bcd4bab9349536c60b58e9372ca2a60eb67ae9f8dc643c7d9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-05-15T14:51:52Z",
    "title_canon_sha256": "fa69396d419f64b033b55853a48cb9f35d8b6c1adb5ff0b46221f92bbcc4564b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05276",
    "kind": "arxiv",
    "version": 2
  }
}