Pith Number

pith:LSVG6WL3

pith:2013:LSVG6WL3S3HBMQYS4HLUZD6DUU

not attested not anchored not stored refs pending

Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 0

Kilian Raschel, Marc Peign\'e, Rim Essifi

arxiv:1301.5713 v2 · 2013-01-24 · 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{LSVG6WL3S3HBMQYS4HLUZD6DUU}

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	2026-05-18T03:05:28.252167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5caa6f597b96ce164312e1d74c8fc3a5139acf662b881361459d1cf8b798fcc6

Aliases

arxiv: 1301.5713 · arxiv_version: 1301.5713v2 · doi: 10.48550/arxiv.1301.5713 · pith_short_12: LSVG6WL3S3HB · pith_short_16: LSVG6WL3S3HBMQYS · pith_short_8: LSVG6WL3

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/LSVG6WL3S3HBMQYS4HLUZD6DUU \
  | 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: 5caa6f597b96ce164312e1d74c8fc3a5139acf662b881361459d1cf8b798fcc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28cc4f7b9711519540974d7dcc173d4037bcda41c1be9fb788a2496c6ff6f973",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-24T07:01:21Z",
    "title_canon_sha256": "8599135f1de36fefb65e0c712055302752b49f9c0c076841b58d87c07e7fd255"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5713",
    "kind": "arxiv",
    "version": 2
  }
}