Pith Number

pith:M5KRJVJF

pith:2016:M5KRJVJFTQDFTHADTQ347RN3YP

not attested not anchored not stored refs pending

Feedback control: two-sided Markov-modulated Brownian motion with instantaneous change of phase at boundaries

Giang T. Nguyen, Guy Latouche

arxiv:1603.01945 v1 · 2016-03-07 · 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{M5KRJVJFTQDFTHADTQ347RN3YP}

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	2026-05-18T01:19:31.976850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675514d5259c06599c039c37cfc5bbc3fd4e6fa29ff439c41a86675476f6fa9b

Aliases

arxiv: 1603.01945 · arxiv_version: 1603.01945v1 · doi: 10.48550/arxiv.1603.01945 · pith_short_12: M5KRJVJFTQDF · pith_short_16: M5KRJVJFTQDFTHAD · pith_short_8: M5KRJVJF

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/M5KRJVJFTQDFTHADTQ347RN3YP \
  | 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: 675514d5259c06599c039c37cfc5bbc3fd4e6fa29ff439c41a86675476f6fa9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "550fb43d26c4fbdc8130f93c53b9e865645b93843a88c08affc2eb6fdf7f6fb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-07T05:51:07Z",
    "title_canon_sha256": "a668fff00bc705988ea03494f0f5fee05a4cb7997d19f262200cff5f84a603f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01945",
    "kind": "arxiv",
    "version": 1
  }
}