Pith Number

pith:OXSRM357

pith:2010:OXSRM357F2EZKZ2CFNPVW5ZEMT

not attested not anchored not stored refs pending

Asymptotics of visibility in the hyperbolic plane

Johan Tykesson, Pierre Calka

arxiv:1012.5220 v2 · 2010-12-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXSRM357F2EZKZ2CFNPVW5ZEMT}

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	2026-05-18T04:31:31.987922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75e5166fbf2e899567422b5f5b772464cfa8365ac565424198caa671109c8b93

Aliases

arxiv: 1012.5220 · arxiv_version: 1012.5220v2 · doi: 10.48550/arxiv.1012.5220 · pith_short_12: OXSRM357F2EZ · pith_short_16: OXSRM357F2EZKZ2C · pith_short_8: OXSRM357

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/OXSRM357F2EZKZ2CFNPVW5ZEMT \
  | 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: 75e5166fbf2e899567422b5f5b772464cfa8365ac565424198caa671109c8b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b092aa1bcb9f391b5c985e8b7cb7d3dc9cc890adcbe6f0d93b245beb2d8d7935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-23T14:53:16Z",
    "title_canon_sha256": "60459c82bde5770b91977ff40ee7204d562eadd29e1e520c7d96c6bfd34a406c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5220",
    "kind": "arxiv",
    "version": 2
  }
}