Pith Number

pith:QKMZUOFO

pith:2009:QKMZUOFOTBV4MUXDT34SE6QVVB

not attested not anchored not stored refs pending

Asymptotics for the expected lifetime of Brownian motion on thin domains in R^n

Denis Borisov, Pedro Freitas

arxiv:0909.5516 v2 · 2009-09-30 · math.AP · 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{QKMZUOFOTBV4MUXDT34SE6QVVB}

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	2026-05-18T04:23:33.302762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82999a38ae986bc652e39ef9227a15a8678f5db26518df35a97c0bc6dd2fb65d

Aliases

arxiv: 0909.5516 · arxiv_version: 0909.5516v2 · doi: 10.48550/arxiv.0909.5516 · pith_short_12: QKMZUOFOTBV4 · pith_short_16: QKMZUOFOTBV4MUXD · pith_short_8: QKMZUOFO

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/QKMZUOFOTBV4MUXDT34SE6QVVB \
  | 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: 82999a38ae986bc652e39ef9227a15a8678f5db26518df35a97c0bc6dd2fb65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ddda775318b759a65089e91540f4a1835a0a5d50d32561bbc8a91a61bb90e56",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-09-30T06:05:40Z",
    "title_canon_sha256": "ae8a9cc7deadf1c56d61db4009c58467bbd1e20c46f19f143077bff5b1c491a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5516",
    "kind": "arxiv",
    "version": 2
  }
}