Pith Number

pith:M654IQS2

pith:2015:M654IQS2B5ZJYSZHRF2K5P4S7Z

not attested not anchored not stored refs pending

Optimal control of branching diffusion processes: a finite horizon problem

Julien Claisse

arxiv:1511.06809 v2 · 2015-11-21 · 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{M654IQS2B5ZJYSZHRF2K5P4S7Z}

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	2026-05-18T01:04:33.169064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67bbc4425a0f729c4b278974aebf92fe47fd3a6908c8f00d38aeb30da71ce6d5

Aliases

arxiv: 1511.06809 · arxiv_version: 1511.06809v2 · doi: 10.48550/arxiv.1511.06809 · pith_short_12: M654IQS2B5ZJ · pith_short_16: M654IQS2B5ZJYSZH · pith_short_8: M654IQS2

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/M654IQS2B5ZJYSZHRF2K5P4S7Z \
  | 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: 67bbc4425a0f729c4b278974aebf92fe47fd3a6908c8f00d38aeb30da71ce6d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b70b25f8da2ad0c8062bb1732b378b89fb9222c0525bfb0891e61676f7e704",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-21T01:15:58Z",
    "title_canon_sha256": "ad576afab43e0eb1a7140d88bfe1e89e8879574a64e33d88d95b2c83cd25986f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06809",
    "kind": "arxiv",
    "version": 2
  }
}