Pith Number

pith:UDTSMCNS

pith:2016:UDTSMCNSBYTNOGYB6V5FO4ZXL4

not attested not anchored not stored refs pending

High order expansions for renewal functions and applications to ruin theory

Cl\'ement Dombry (LMB), Landy Rabehasaina (LMB)

arxiv:1611.09197 v1 · 2016-11-28 · 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{UDTSMCNSBYTNOGYB6V5FO4ZXL4}

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	2026-05-18T00:56:28.835277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e72609b20e26d71b01f57a5773375f3707c2ebcdd4f23f3e637b8e1ddb9326

Aliases

arxiv: 1611.09197 · arxiv_version: 1611.09197v1 · doi: 10.48550/arxiv.1611.09197 · pith_short_12: UDTSMCNSBYTN · pith_short_16: UDTSMCNSBYTNOGYB · pith_short_8: UDTSMCNS

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/UDTSMCNSBYTNOGYB6V5FO4ZXL4 \
  | 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: a0e72609b20e26d71b01f57a5773375f3707c2ebcdd4f23f3e637b8e1ddb9326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f250d381a68fc2521a6e3a1ea65bcb2667fd8972a5dcc5187cb8895c45dd1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-28T15:40:20Z",
    "title_canon_sha256": "f3ec041a552c79a61f87d57fe15ae8451f580aa103a521a7188666a16b614bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09197",
    "kind": "arxiv",
    "version": 1
  }
}