Pith Number

pith:KFJV5A2D

pith:2011:KFJV5A2DAURBFV6SZWVJBSVEBA

not attested not anchored not stored refs pending

Optimal control with reset-renewable resources

Alexander Vladimirsky, Ryo Takei, Slav Kirov, Weiyan Chen, Zachary Clawson

arxiv:1110.6221 v2 · 2011-10-28 · math.OC · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFJV5A2DAURBFV6SZWVJBSVEBA}

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	2026-05-18T02:41:43.565285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51535e8343052212d7d2cdaa90caa4080cbe0c07960dec7120bf2a2e3a95bb08

Aliases

arxiv: 1110.6221 · arxiv_version: 1110.6221v2 · doi: 10.48550/arxiv.1110.6221 · pith_short_12: KFJV5A2DAURB · pith_short_16: KFJV5A2DAURBFV6S · pith_short_8: KFJV5A2D

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/KFJV5A2DAURBFV6SZWVJBSVEBA \
  | 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: 51535e8343052212d7d2cdaa90caa4080cbe0c07960dec7120bf2a2e3a95bb08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75b996aaad8f99f2ead11241afcaa7e0bc0ccad586ec65246f1aa285ee120c8",
    "cross_cats_sorted": [
      "cs.RO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-28T00:05:24Z",
    "title_canon_sha256": "3b6c78e9cf27ead8dffe4580421fdf2986ba198d5caa344029b7d517eb0af717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6221",
    "kind": "arxiv",
    "version": 2
  }
}