Pith Number

pith:VWWZFQ6U

pith:2014:VWWZFQ6UMYCIUBMYVO5QVGZWTY

not attested not anchored not stored refs pending

Optimal Control of Markov Processes with Age-Dependent Transition Rates

Mrinal K. Ghosh, Subhamay Saha

arxiv:1409.4028 v1 · 2014-09-14 · 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{VWWZFQ6UMYCIUBMYVO5QVGZWTY}

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	2026-05-18T02:42:53.192245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adad92c3d466048a0598abbb0a9b369e21f9e935086e9300c331ad0c9132a2dc

Aliases

arxiv: 1409.4028 · arxiv_version: 1409.4028v1 · doi: 10.48550/arxiv.1409.4028 · pith_short_12: VWWZFQ6UMYCI · pith_short_16: VWWZFQ6UMYCIUBMY · pith_short_8: VWWZFQ6U

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/VWWZFQ6UMYCIUBMYVO5QVGZWTY \
  | 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: adad92c3d466048a0598abbb0a9b369e21f9e935086e9300c331ad0c9132a2dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53c09ce1b949e3ab6a0b3795b61a885aaeb27230f226557635b9d1390433e0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-09-14T08:33:46Z",
    "title_canon_sha256": "b5276893ec7d561abee288c115b5e75b8a80fc0c76a122bc19b0c2e2544f8bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4028",
    "kind": "arxiv",
    "version": 1
  }
}