Pith Number

pith:AVDHCJD3

pith:2011:AVDHCJD3I7AH5LJV2HSPZIXBIZ

not attested not anchored not stored refs pending

On the extensions of Barlow-Proschan importance index and system signature to dependent lifetimes

Jean-Luc Marichal, Pierre Mathonet

arxiv:1109.4860 v2 · 2011-09-22 · math.PR · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVDHCJD3I7AH5LJV2HSPZIXBIZ}

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	2026-05-18T03:41:32.312443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054671247b47c07ead35d1e4fca2e146440a939a3fb37afc577f1053c44e3a14

Aliases

arxiv: 1109.4860 · arxiv_version: 1109.4860v2 · doi: 10.48550/arxiv.1109.4860 · pith_short_12: AVDHCJD3I7AH · pith_short_16: AVDHCJD3I7AH5LJV · pith_short_8: AVDHCJD3

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/AVDHCJD3I7AH5LJV2HSPZIXBIZ \
  | 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: 054671247b47c07ead35d1e4fca2e146440a939a3fb37afc577f1053c44e3a14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b51bbea6ea0e90defde254b36be60a38dda07962a8ad17efa8d7ee17659d1ef6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-22T15:57:35Z",
    "title_canon_sha256": "de6e3b123b85e4d8c27156079e778b8ffba850b45f1e2bb4d3658a0f13aeb9e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4860",
    "kind": "arxiv",
    "version": 2
  }
}