Pith Number

pith:HBZ4VVA3

pith:2000:HBZ4VVA3JSPFPBE35DH6ST4BGT

not attested not anchored not stored refs pending

Covering properties of meromorphic functions, negative curvature and spherical geometry

Alexandre Eremenko, Mario Bonk

arxiv:math/0009251 v1 · 2000-09-01 · 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{HBZ4VVA3JSPFPBE35DH6ST4BGT}

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	2026-05-18T01:05:38.249598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3873cad41b4c9e57849be8cfe94f8134df874e53ced9ab223d6852e7522ea389

Aliases

arxiv: math/0009251 · arxiv_version: math/0009251v1 · doi: 10.48550/arxiv.math/0009251 · pith_short_12: HBZ4VVA3JSPF · pith_short_16: HBZ4VVA3JSPFPBE3 · pith_short_8: HBZ4VVA3

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/HBZ4VVA3JSPFPBE35DH6ST4BGT \
  | 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: 3873cad41b4c9e57849be8cfe94f8134df874e53ced9ab223d6852e7522ea389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e454b2d257671ff074efaa6d482114840932b9c9078f23a9ec8966aca525b1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2000-09-01T00:00:00Z",
    "title_canon_sha256": "a4d3949ae12ed4b89e1fa43b73ed2fe743d1d901bfe5c32921c8d9c4da885034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009251",
    "kind": "arxiv",
    "version": 1
  }
}