Pith Number

pith:ZR74APEZ

pith:2015:ZR74APEZ66N3HHB3TMPVW3EFJG

not attested not anchored not stored refs pending

Multiplicative ergodicity of Laplace transforms for additive functional of Markov chains

Fran\c{c}oise P\`ene (LMBA), Lo\"ic Herv\'e (INSA Rennes)

arxiv:1506.07659 v3 · 2015-06-25 · 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{ZR74APEZ66N3HHB3TMPVW3EFJG}

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	2026-05-18T01:33:31.980485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc7fc03c99f79bb39c3b9b1f5b6c8549b3fddbf69c98e2de4826e1bac0f05cb0

Aliases

arxiv: 1506.07659 · arxiv_version: 1506.07659v3 · doi: 10.48550/arxiv.1506.07659 · pith_short_12: ZR74APEZ66N3 · pith_short_16: ZR74APEZ66N3HHB3 · pith_short_8: ZR74APEZ

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/ZR74APEZ66N3HHB3TMPVW3EFJG \
  | 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: cc7fc03c99f79bb39c3b9b1f5b6c8549b3fddbf69c98e2de4826e1bac0f05cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b1179644c8157c15a39938f107bba38a2d793f1072b0bfceaa7459aae66fc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-25T08:14:11Z",
    "title_canon_sha256": "e6e8ac3c29b0b4659f44af8270f67c400119a43dfd0331a8a1ec997043a5c066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07659",
    "kind": "arxiv",
    "version": 3
  }
}