Pith Number

pith:3XQAN2XB

pith:2026:3XQAN2XBYBCZX7YJ47PU3YQRCQ

not attested not anchored not stored refs pending

Stochastic control with signatures via Riccati equations on the tensor algebra

Dimitri Sotnikov, Eduardo Abi Jaber, Elie Attal

arxiv:2607.03986 v1 · 2026-07-04 · math.OC · 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{3XQAN2XBYBCZX7YJ47PU3YQRCQ}

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	2026-07-07T02:18:50.978214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde006eae1c0459bff09e7df4de211141c01c4c5ff6366da38c32d93efe5126d

Aliases

arxiv: 2607.03986 · arxiv_version: 2607.03986v1 · doi: 10.48550/arxiv.2607.03986 · pith_short_12: 3XQAN2XBYBCZ · pith_short_16: 3XQAN2XBYBCZX7YJ · pith_short_8: 3XQAN2XB

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/3XQAN2XBYBCZX7YJ47PU3YQRCQ \
  | 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: dde006eae1c0459bff09e7df4de211141c01c4c5ff6366da38c32d93efe5126d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e305a3d3bc1af4736296a8fbc9caa8374991b7656d339a7e4b56c01b99cb8411",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-04T19:06:10Z",
    "title_canon_sha256": "df4e40b8655ed1edfbd4802108cf032e22ae0c4cca9aaac2af9da264f41b5301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03986",
    "kind": "arxiv",
    "version": 1
  }
}