Pith Number

pith:SE4RM47T

pith:2010:SE4RM47TDHPCHBZLVSKGHL6SQI

not attested not anchored not stored refs pending

Recurrence rates and hitting-time distributions for random walks on the line

Beno\^it Saussol (LM), Francoise Pene (LM), Roland Zweim\"uller

arxiv:1003.5073 v2 · 2010-03-26 · 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{SE4RM47TDHPCHBZLVSKGHL6SQI}

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	2026-05-18T03:30:42.685831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91391673f319de23872bac9463afd28209fba6058ccaa26448eed60449b44ca8

Aliases

arxiv: 1003.5073 · arxiv_version: 1003.5073v2 · doi: 10.48550/arxiv.1003.5073 · pith_short_12: SE4RM47TDHPC · pith_short_16: SE4RM47TDHPCHBZL · pith_short_8: SE4RM47T

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/SE4RM47TDHPCHBZLVSKGHL6SQI \
  | 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: 91391673f319de23872bac9463afd28209fba6058ccaa26448eed60449b44ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b415330e2fd2e4e792d991457273f283b71fd4d44fb636c1bc89c57687d946",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-26T08:10:06Z",
    "title_canon_sha256": "ac1a8594acc45bda7781cf820353ebcd9717c4b01b07e43b4fa06a8c5db9ce46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5073",
    "kind": "arxiv",
    "version": 2
  }
}