Pith Number

pith:FC5SWS75

pith:2010:FC5SWS75CJMAC2UAXJUL77ZZOB

not attested not anchored not stored refs pending

Almost sure asymptotics for the maximum local time in Brownian environment

Roland Diel (MAPMO)

arxiv:1003.0661 v2 · 2010-03-02 · 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{FC5SWS75CJMAC2UAXJUL77ZZOB}

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	2026-05-18T02:24:38.343848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28bb2b4bfd1258016a80ba68bfff397059152afe4fb0cf2d00d36a78d92dbeb3

Aliases

arxiv: 1003.0661 · arxiv_version: 1003.0661v2 · doi: 10.48550/arxiv.1003.0661 · pith_short_12: FC5SWS75CJMA · pith_short_16: FC5SWS75CJMAC2UA · pith_short_8: FC5SWS75

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/FC5SWS75CJMAC2UAXJUL77ZZOB \
  | 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: 28bb2b4bfd1258016a80ba68bfff397059152afe4fb0cf2d00d36a78d92dbeb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac89f7fb38cbf8f502ee78ed0844d8700d5a48c1f1c38ab48d6e88d0a19e4838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-02T19:45:49Z",
    "title_canon_sha256": "be4e52dea7d4c2762f8db2e9cd5796d4fcb9388ee2387c643c8f78a288eee831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0661",
    "kind": "arxiv",
    "version": 2
  }
}