Pith Number

pith:I436UF7T

pith:2016:I436UF7TTMYBKJ2TY7WSFUR4WA

not attested not anchored not stored refs pending

Escape rate of the Brownian motions on hyperbolic spaces

Yuichi Shiozawa

arxiv:1609.06814 v1 · 2016-09-22 · 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{I436UF7TTMYBKJ2TY7WSFUR4WA}

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	2026-05-18T01:04:05.066995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4737ea17f39b30152753c7ed22d23cb02ad85c839afcfac70571c2afa5b64d88

Aliases

arxiv: 1609.06814 · arxiv_version: 1609.06814v1 · doi: 10.48550/arxiv.1609.06814 · pith_short_12: I436UF7TTMYB · pith_short_16: I436UF7TTMYBKJ2T · pith_short_8: I436UF7T

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/I436UF7TTMYBKJ2TY7WSFUR4WA \
  | 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: 4737ea17f39b30152753c7ed22d23cb02ad85c839afcfac70571c2afa5b64d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdcc1b41484cf309893d96921544d65b46a63c3ba4c2e662b6e4f8d2758415a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-22T04:24:23Z",
    "title_canon_sha256": "87d25da2964a9edad8cbac2e5b4a3bc1edaf4815d2c86124fa241ad7b0a37e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06814",
    "kind": "arxiv",
    "version": 1
  }
}