Pith Number

pith:C5XPKOFW

pith:2013:C5XPKOFWY4WGE5EYPFQ2ZTZWGT

not attested not anchored not stored refs pending

Risk-Sensitive Control and an Abstract Collatz-Wielandt Formula

Ari Arapostathis, K. Suresh Kumar, Vivek S. Borkar

arxiv:1312.5834 v3 · 2013-12-20 · 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{C5XPKOFWY4WGE5EYPFQ2ZTZWGT}

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	2026-05-17T23:51:00.786819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

176ef538b6c72c6274987961accf3634d98dd4335998f2fe1c08b7944eb5ae1b

Aliases

arxiv: 1312.5834 · arxiv_version: 1312.5834v3 · doi: 10.48550/arxiv.1312.5834 · pith_short_12: C5XPKOFWY4WG · pith_short_16: C5XPKOFWY4WGE5EY · pith_short_8: C5XPKOFW

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/C5XPKOFWY4WGE5EYPFQ2ZTZWGT \
  | 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: 176ef538b6c72c6274987961accf3634d98dd4335998f2fe1c08b7944eb5ae1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6010208abd41e146fa3c1eef45f19d4aa1520f9214fb030674f8155abbbe29ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-20T07:38:01Z",
    "title_canon_sha256": "de80c067fb544b8375de08f4e006abce9af93166c830dbc0597b063249380f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5834",
    "kind": "arxiv",
    "version": 3
  }
}