Pith Number

pith:TRC7FTID

pith:2019:TRC7FTIDAX64TUUYDNYP63WSVX

not attested not anchored not stored refs pending

Quantitative inequalities for the expected lifetime of Brownian motion

Daesung Kim

arxiv:1904.09565 v1 · 2019-04-21 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRC7FTIDAX64TUUYDNYP63WSVX}

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	2026-05-17T23:48:03.909384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c45f2cd0305fdc9d2981b70ff6ed2ade4d24ed63dca796eb24f8d80b858def0

Aliases

arxiv: 1904.09565 · arxiv_version: 1904.09565v1 · doi: 10.48550/arxiv.1904.09565 · pith_short_12: TRC7FTIDAX64 · pith_short_16: TRC7FTIDAX64TUUY · pith_short_8: TRC7FTID

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/TRC7FTIDAX64TUUYDNYP63WSVX \
  | 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: 9c45f2cd0305fdc9d2981b70ff6ed2ade4d24ed63dca796eb24f8d80b858def0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b161b6b0fdb1ed579eba2c2911b8d64d782ae9f51d112a8e0353b05a39686496",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-21T08:22:12Z",
    "title_canon_sha256": "6232b0445e9dc037b28d41c22185a3c5f6484d723d6fcda139412e9f58bb20ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09565",
    "kind": "arxiv",
    "version": 1
  }
}