Pith Number

pith:VAYAIE4O

pith:2012:VAYAIE4OWN4HIS5OHN7MWDT4S2

not attested not anchored not stored refs pending

Characterization and computation of infinite horizon specifications over Markov processes

Alessandro Abate, Ilya Tkachev

arxiv:1211.4346 v4 · 2012-11-19 · math.OC · cs.LO · cs.SY · 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{VAYAIE4OWN4HIS5OHN7MWDT4S2}

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	2026-05-18T02:47:13.290673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83004138eb378744bae3b7ecb0e7c96957c59cb46fb077b1272b3ed890d826f

Aliases

arxiv: 1211.4346 · arxiv_version: 1211.4346v4 · doi: 10.48550/arxiv.1211.4346 · pith_short_12: VAYAIE4OWN4H · pith_short_16: VAYAIE4OWN4HIS5O · pith_short_8: VAYAIE4O

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/VAYAIE4OWN4HIS5OHN7MWDT4S2 \
  | 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: a83004138eb378744bae3b7ecb0e7c96957c59cb46fb077b1272b3ed890d826f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e9f0760bac1af6c4831ce189c0acb9507a06b5576cb974686abfa27450c263",
    "cross_cats_sorted": [
      "cs.LO",
      "cs.SY",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-19T09:51:18Z",
    "title_canon_sha256": "796fe00d334d75c1a45b12ecf0d33f9483ce10b9be43df6c3b0c0246c7c39b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4346",
    "kind": "arxiv",
    "version": 4
  }
}