Pith Number

pith:YFSXKGHQ

pith:2019:YFSXKGHQMZNFSPRX76ZVRGDMEU

not attested not anchored not stored refs pending

Hyberbolic Belyi maps and Shabat-Blaschke products

Kenneth Chung Tak Chiu, Tuen Wai Ng

arxiv:1907.10145 v1 · 2019-07-18 · math.AG · math.CV · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFSXKGHQMZNFSPRX76ZVRGDMEU}

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	2026-05-17T23:39:38.910108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1657518f0665a593e37ffb358986c25153ab715ab994b4a464eae929002f05c

Aliases

arxiv: 1907.10145 · arxiv_version: 1907.10145v1 · doi: 10.48550/arxiv.1907.10145 · pith_short_12: YFSXKGHQMZNF · pith_short_16: YFSXKGHQMZNFSPRX · pith_short_8: YFSXKGHQ

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/YFSXKGHQMZNFSPRX76ZVRGDMEU \
  | 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: c1657518f0665a593e37ffb358986c25153ab715ab994b4a464eae929002f05c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2229c8d9d49171991769b9c0f4ae22cf130f80cd1cc87d97512c9ff4e319353c",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-18T09:13:19Z",
    "title_canon_sha256": "6d3d9adf9124aa37c57c97d7efcfe133a049ff2d1ffa05caa9e01932479041eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10145",
    "kind": "arxiv",
    "version": 1
  }
}