Pith Number

pith:WIWFNXHW

pith:2012:WIWFNXHWF4OHHABHEA6QV43WXT

not attested not anchored not stored refs pending

Stationary IPA Estimates for Non-Smooth G/G/1/$\infty$ Functionals via Palm Inversion and Level-Crossing Analysis

Jean-Marc Lasgouttes (INRIA Rocquencourt), Pierre Bremaud (LSS)

arxiv:1207.3241 v1 · 2012-07-13 · 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{WIWFNXHWF4OHHABHEA6QV43WXT}

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	2026-05-18T03:51:02.990733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22c56dcf62f1c738027203d0af376bcd7e5113a0af64ca10d0d298172dde394

Aliases

arxiv: 1207.3241 · arxiv_version: 1207.3241v1 · doi: 10.48550/arxiv.1207.3241 · pith_short_12: WIWFNXHWF4OH · pith_short_16: WIWFNXHWF4OHHABH · pith_short_8: WIWFNXHW

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/WIWFNXHWF4OHHABHEA6QV43WXT \
  | 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: b22c56dcf62f1c738027203d0af376bcd7e5113a0af64ca10d0d298172dde394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b38aad72578da5d36f6e4f21cee4a95b0eb0bd67371ed8db63fc673e816f4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-13T13:40:19Z",
    "title_canon_sha256": "205f1f435201c2449d6f83baa7da89c6cab6d238c609789c68ed2a1c30a48ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3241",
    "kind": "arxiv",
    "version": 1
  }
}