Pith Number

pith:LF55OCPG

pith:2012:LF55OCPGS75BC25NNMLOHLFDD4

not attested not anchored not stored refs pending

Functional co-monotony of processes with applications to peacocks and barrier options

Gilles Pag\`es (LPMA)

arxiv:1209.4262 v3 · 2012-09-19 · 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{LF55OCPGS75BC25NNMLOHLFDD4}

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	2026-05-18T03:41:02.334077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

597bd709e697fa116bad6b16e3aca31f36e23f16dcf1f81c18f0741eb275962f

Aliases

arxiv: 1209.4262 · arxiv_version: 1209.4262v3 · doi: 10.48550/arxiv.1209.4262 · pith_short_12: LF55OCPGS75B · pith_short_16: LF55OCPGS75BC25N · pith_short_8: LF55OCPG

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/LF55OCPGS75BC25NNMLOHLFDD4 \
  | 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: 597bd709e697fa116bad6b16e3aca31f36e23f16dcf1f81c18f0741eb275962f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abd4dcfff2b2327de9251c4cce091fad076ce14ca051868b68f169b3d98c291b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-19T14:46:45Z",
    "title_canon_sha256": "8d47469f3ba86716c5c818aaf0e3a83aa64d54f6389148a103ce7d87a5d001d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4262",
    "kind": "arxiv",
    "version": 3
  }
}