Pith Number

pith:TZOPPNR5

pith:2014:TZOPPNR5YTDPRJQ6DGQWLDE6GX

not attested not anchored not stored refs pending

Asymptotic expansion of the expected volume of the Wiener sausage in even dimensions

Yuji Hamana

arxiv:1402.0636 v1 · 2014-02-04 · 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{TZOPPNR5YTDPRJQ6DGQWLDE6GX}

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	2026-05-18T03:00:13.432192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e5cf7b63dc4c6f8a61e19a1658c9e35d6f6b26938f44c2995fa838ddcb83bec

Aliases

arxiv: 1402.0636 · arxiv_version: 1402.0636v1 · doi: 10.48550/arxiv.1402.0636 · pith_short_12: TZOPPNR5YTDP · pith_short_16: TZOPPNR5YTDPRJQ6 · pith_short_8: TZOPPNR5

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/TZOPPNR5YTDPRJQ6DGQWLDE6GX \
  | 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: 9e5cf7b63dc4c6f8a61e19a1658c9e35d6f6b26938f44c2995fa838ddcb83bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9acb96ceedfecaf9ec06b97d143087a8998414b0ab4a06febcbad4f55cc3813",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-04T06:45:05Z",
    "title_canon_sha256": "30ce628ad6bbb2577398e82212ba249a25d29ef175a7f6de9bbca81bf80841f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0636",
    "kind": "arxiv",
    "version": 1
  }
}