Pith Number

pith:HVWB7CYG

pith:2015:HVWB7CYGGKY5SM7Q6QXSZG5OZA

not attested not anchored not stored refs pending

Optimal control of Markov jump processes : Asymptotic analysis, algorithms and applications to the modelling of chemical reaction systems

Carsten Hartmann, Max von Kleist, Wei Zhang

arxiv:1512.00216 v3 · 2015-12-01 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVWB7CYGGKY5SM7Q6QXSZG5OZA}

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	2026-05-18T00:41:02.307468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d6c1f8b0632b1d933f0f42f2c9baec831553c96b4e61bdbe54079aaa1af5ef3

Aliases

arxiv: 1512.00216 · arxiv_version: 1512.00216v3 · doi: 10.48550/arxiv.1512.00216 · pith_short_12: HVWB7CYGGKY5 · pith_short_16: HVWB7CYGGKY5SM7Q · pith_short_8: HVWB7CYG

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/HVWB7CYGGKY5SM7Q6QXSZG5OZA \
  | 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: 3d6c1f8b0632b1d933f0f42f2c9baec831553c96b4e61bdbe54079aaa1af5ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dce6aea3dd50e5d0e4c52e4ee23bce92b0a90d88eb9c84b9e8f43f5c485d4bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-01T10:40:18Z",
    "title_canon_sha256": "35b6318b80c2dce07e6f6edcfde14fc6260087cdef2e9c947155456dd795452c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00216",
    "kind": "arxiv",
    "version": 3
  }
}