Pith Number

pith:42IAC7LY

pith:2016:42IAC7LY4VZCHEIVQG5HWSWD3R

not attested not anchored not stored refs pending

Note on discounted continuous-time Markov decision processes with a lower bounding function

Alexey Piunovskiy, Xin Guo, Yi Zhang

arxiv:1612.00744 v1 · 2016-12-02 · 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{42IAC7LY4VZCHEIVQG5HWSWD3R}

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	2026-05-18T00:55:59.145344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e690017d78e57223911581ba7b4ac3dc632f24be1a69f0669430573bdda1b321

Aliases

arxiv: 1612.00744 · arxiv_version: 1612.00744v1 · doi: 10.48550/arxiv.1612.00744 · pith_short_12: 42IAC7LY4VZC · pith_short_16: 42IAC7LY4VZCHEIV · pith_short_8: 42IAC7LY

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/42IAC7LY4VZCHEIVQG5HWSWD3R \
  | 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: e690017d78e57223911581ba7b4ac3dc632f24be1a69f0669430573bdda1b321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd60984ce04ea3c80d9e482dce982f98cc94394416d5b610b00936093708ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-02T16:47:26Z",
    "title_canon_sha256": "05e32ada16763b62980f0e995dabddbc09519f424911f3e186adcd9309a5f8f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00744",
    "kind": "arxiv",
    "version": 1
  }
}