Pith Number

pith:7YLBCFMO

pith:2011:7YLBCFMO72F4TQMPROY5HPTB6X

not attested not anchored not stored refs pending

Power and exponential moments of the number of visits and related quantities for perturbed random walks

Alexander Iksanov, Gerold Alsmeyer, Matthias Meiners

arxiv:1111.4159 v3 · 2011-11-17 · 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{7YLBCFMO72F4TQMPROY5HPTB6X}

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	2026-05-18T03:36:48.186937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1611158efe8bc9c18f8bb1d3be61f5f14d94e0310993db4b99451327228dbe

Aliases

arxiv: 1111.4159 · arxiv_version: 1111.4159v3 · doi: 10.48550/arxiv.1111.4159 · pith_short_12: 7YLBCFMO72F4 · pith_short_16: 7YLBCFMO72F4TQMP · pith_short_8: 7YLBCFMO

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/7YLBCFMO72F4TQMPROY5HPTB6X \
  | 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: fe1611158efe8bc9c18f8bb1d3be61f5f14d94e0310993db4b99451327228dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1963aee997e7a27945443fe243dfef31096d1cd90f16fc55c9395834df86bd5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-17T17:22:59Z",
    "title_canon_sha256": "66d9d5d8fe48deea5b1cc6396313f61e41aea02bd8aba0e691a0ba62cbcc3fea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4159",
    "kind": "arxiv",
    "version": 3
  }
}