pith. sign in
Pith Number

pith:PB67GTSE

pith:2011:PB67GTSESENXWRL3QD6DDBP7H5
not attested not anchored not stored refs pending

On Necessary and Sufficient Conditions for Near-Optimal Singular Stochastic Controls

Mokhtar Hafayed, Petr Veverka, Syed Abbas

arxiv:1110.5553 v1 · 2011-10-25 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PB67GTSESENXWRL3QD6DDBP7H5}

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 2026-05-18T03:56:33.942903Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

787df34e44911b7b457b80fc3185ff3f49fe63c2c58f29be9f8abe52e47627f6

Aliases

arxiv: 1110.5553 · arxiv_version: 1110.5553v1 · doi: 10.48550/arxiv.1110.5553 · pith_short_12: PB67GTSESENX · pith_short_16: PB67GTSESENXWRL3 · pith_short_8: PB67GTSE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PB67GTSESENXWRL3QD6DDBP7H5 \
  | 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: 787df34e44911b7b457b80fc3185ff3f49fe63c2c58f29be9f8abe52e47627f6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8bf8bcdc27171f14a8fecbbab670eb6c6d3c59292517521a1a68c5bb41e927d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-25T16:04:15Z",
    "title_canon_sha256": "b398ea7404c5b1a90956295239b52fdd54b45a25d8adce4c277d3a7815ca58ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5553",
    "kind": "arxiv",
    "version": 1
  }
}