Pith Number

pith:KS5RDBQO

pith:2025:KS5RDBQOXQMFXWZTM76UPIMGF2

not attested not anchored not stored refs pending

A Calculus of Variations Approach to Stochastic Control

Matthew Lorig

arxiv:2509.01744 v2 · 2025-09-01 · math.OC · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS5RDBQOXQMFXWZTM76UPIMGF2}

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	2026-05-27T01:04:50.264372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54bb11860ebc185bdb3367fd47a1862e81581f92b752117c9cb66e2cb01ba9ff

Aliases

arxiv: 2509.01744 · arxiv_version: 2509.01744v2 · doi: 10.48550/arxiv.2509.01744 · pith_short_12: KS5RDBQOXQMF · pith_short_16: KS5RDBQOXQMFXWZT · pith_short_8: KS5RDBQO

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/KS5RDBQOXQMFXWZTM76UPIMGF2 \
  | 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: 54bb11860ebc185bdb3367fd47a1862e81581f92b752117c9cb66e2cb01ba9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8227e61080b343e165f74e6e6ccfde1e32d76fb3761a6f0f66b12f8b5a690134",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-01T19:52:32Z",
    "title_canon_sha256": "7afd44db16f382903a41ad79214e6bd105dbcd4bb46bd1a1b2ade7067696cbc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01744",
    "kind": "arxiv",
    "version": 2
  }
}