Pith Number

pith:F6PCDXUQ

pith:2011:F6PCDXUQXNTXI5YU5QHAIQESPA

not attested not anchored not stored refs pending

An Application of Renewal Theorems to Exponential Moments of Local Times

Leif Doering, Mladen Savov

arxiv:1106.5692 v1 · 2011-06-28 · 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{F6PCDXUQXNTXI5YU5QHAIQESPA}

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	2026-05-18T04:19:12.669672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9e21de90bb67747714ec0e044092780feada9a25cd9a0b94c6b1ec34f564f9

Aliases

arxiv: 1106.5692 · arxiv_version: 1106.5692v1 · doi: 10.48550/arxiv.1106.5692 · pith_short_12: F6PCDXUQXNTX · pith_short_16: F6PCDXUQXNTXI5YU · pith_short_8: F6PCDXUQ

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/F6PCDXUQXNTXI5YU5QHAIQESPA \
  | 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: 2f9e21de90bb67747714ec0e044092780feada9a25cd9a0b94c6b1ec34f564f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5161fe2394ceb5b4dcdbcfdc569442fee531152aef1b404447b59480ad65c78c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-28T14:52:52Z",
    "title_canon_sha256": "de1416efd5300cdd0e757c3cad70a0749795a7031e29c9115c5ab6f8d8822c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5692",
    "kind": "arxiv",
    "version": 1
  }
}