Pith Number

pith:ASZ43MWT

pith:2015:ASZ43MWT574BFKV4R4L4GLYYQH

not attested not anchored not stored refs pending

Spherical density of hyperbolic metric and uniform perfectness

Toshiyuki Sugawa

arxiv:1503.01519 v1 · 2015-03-05 · 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{ASZ43MWT574BFKV4R4L4GLYYQH}

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	2026-05-18T02:25:33.473936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b3cdb2d3eff812aabc8f17c32f1881ef8380c754ad212e56ab23f32b5fb2e6

Aliases

arxiv: 1503.01519 · arxiv_version: 1503.01519v1 · doi: 10.48550/arxiv.1503.01519 · pith_short_12: ASZ43MWT574B · pith_short_16: ASZ43MWT574BFKV4 · pith_short_8: ASZ43MWT

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/ASZ43MWT574BFKV4R4L4GLYYQH \
  | 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: 04b3cdb2d3eff812aabc8f17c32f1881ef8380c754ad212e56ab23f32b5fb2e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf927476fc9df6a3a4fddc1c2da596e7c01174096e0fdbb9dfa3dd7690cb42e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-03-05T02:49:00Z",
    "title_canon_sha256": "ecc916d2caf5a5094dbe8f1e9b6c5c068ebb16f1e04721ff867f3dca510720bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01519",
    "kind": "arxiv",
    "version": 1
  }
}