Pith Number

pith:MNPQIR5X

pith:2025:MNPQIR5X23XPGVTKFBOMGHUNME

not attested not anchored not stored refs pending

Optimal dividend and capital injection under self-exciting claims

Etienne Chevalier, Paulin Aubert, Vathana Ly Vath

arxiv:2511.19701 v2 · 2025-11-24 · math.OC · math.PR · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNPQIR5X23XPGVTKFBOMGHUNME}

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	2026-06-03T01:05:46.603398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635f0447b7d6eef3566a285cc31e8d610656685d6447a7011077826029ed82a1

Aliases

arxiv: 2511.19701 · arxiv_version: 2511.19701v2 · doi: 10.48550/arxiv.2511.19701 · pith_short_12: MNPQIR5X23XP · pith_short_16: MNPQIR5X23XPGVTK · pith_short_8: MNPQIR5X

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/MNPQIR5X23XPGVTKFBOMGHUNME \
  | 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: 635f0447b7d6eef3566a285cc31e8d610656685d6447a7011077826029ed82a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9045ff818c01d36af374feab5ea3bf41574434a7a3946c09d4c425a5c2f24bfb",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.RM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-24T21:09:10Z",
    "title_canon_sha256": "6798a66fb167eb9f0a5f6fdec722d8e859b1a6d2e242c74bb0497feb0f1395e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.19701",
    "kind": "arxiv",
    "version": 2
  }
}