Pith Number

pith:TMNGP2GK

pith:2011:TMNGP2GKWLYFDOQV66GXUE3FM6

not attested not anchored not stored refs pending

A Quasi-Sure Approach to the Control of Non-Markovian Stochastic Differential Equations

Marcel Nutz

arxiv:1106.3273 v2 · 2011-06-16 · math.PR · cs.SY · math.OC · 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{TMNGP2GKWLYFDOQV66GXUE3FM6}

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	2026-05-18T03:56:22.653652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1a67e8cab2f051ba15f78d7a136567bbe7ed64813643ab21dc8f0b6e8fa034

Aliases

arxiv: 1106.3273 · arxiv_version: 1106.3273v2 · doi: 10.48550/arxiv.1106.3273 · pith_short_12: TMNGP2GKWLYF · pith_short_16: TMNGP2GKWLYFDOQV · pith_short_8: TMNGP2GK

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/TMNGP2GKWLYFDOQV66GXUE3FM6 \
  | 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: 9b1a67e8cab2f051ba15f78d7a136567bbe7ed64813643ab21dc8f0b6e8fa034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20c301c509fd3e0f6cbd30e8912bbb26eb4e07392a72e4d7b662dbbb59811c49",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-16T17:00:11Z",
    "title_canon_sha256": "acc8a677c330d9c348daca2ad9834cf824ebd4c27ffaf452458bbbf383502923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3273",
    "kind": "arxiv",
    "version": 2
  }
}