Pith Number

pith:SP3GIWFI

pith:2016:SP3GIWFIJWHDGT5X7VUOWMYBEQ

not attested not anchored not stored refs pending

Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics

Emmanuel Tr\'elat, Mich\`ele Thieullen, Vincent Renault

arxiv:1607.05574 v1 · 2016-07-19 · 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{SP3GIWFIJWHDGT5X7VUOWMYBEQ}

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	2026-05-18T01:10:46.528204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93f66458a84d8e334fb7fd68eb33012407a7d1cff56fa4ff3cfc9482218bce50

Aliases

arxiv: 1607.05574 · arxiv_version: 1607.05574v1 · doi: 10.48550/arxiv.1607.05574 · pith_short_12: SP3GIWFIJWHD · pith_short_16: SP3GIWFIJWHDGT5X · pith_short_8: SP3GIWFI

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/SP3GIWFIJWHDGT5X7VUOWMYBEQ \
  | 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: 93f66458a84d8e334fb7fd68eb33012407a7d1cff56fa4ff3cfc9482218bce50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83bdc20b9c734bc623e2244b0197f2323046e125a50068ac4524155fd801fc22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-19T13:49:04Z",
    "title_canon_sha256": "427a6a8c7e1379545327e6af26cd2250fe47c67ff65f92ce0cac21143e93c996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05574",
    "kind": "arxiv",
    "version": 1
  }
}