pith. sign in
Pith Number

pith:76TWVZY6

pith:2010:76TWVZY6JHYK7Y3NV2QIMWE2XN
not attested not anchored not stored refs pending

Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations

Jean-Luc Marichal, Pierre Mathonet

arxiv:1004.3185 v2 · 2010-04-19 · math.PR · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{76TWVZY6JHYK7Y3NV2QIMWE2XN}

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 2026-05-18T04:27:15.043546Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ffa76ae71e49f0afe36daea086589abb75bf825a9ca1335b2e18e4f05c31010c

Aliases

arxiv: 1004.3185 · arxiv_version: 1004.3185v2 · doi: 10.48550/arxiv.1004.3185 · pith_short_12: 76TWVZY6JHYK · pith_short_16: 76TWVZY6JHYK7Y3N · pith_short_8: 76TWVZY6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/76TWVZY6JHYK7Y3NV2QIMWE2XN \
  | 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: ffa76ae71e49f0afe36daea086589abb75bf825a9ca1335b2e18e4f05c31010c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a74cf3c487486ab125ee89b0a63236b42c11c027319c7e66c18aa22bfd9a1ea3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-19T13:27:16Z",
    "title_canon_sha256": "dcace95e837a15e1c92928a1bbcdc3264743eecea539500c551f4f6f9a27122f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3185",
    "kind": "arxiv",
    "version": 2
  }
}