pith. sign in
Pith Number

pith:XKSHMPOJ

pith:2016:XKSHMPOJS6ULLYJIQVTBAJIPVC
not attested not anchored not stored refs pending

Recursive utility optimization with concave coefficients

Shaolin Ji, Xiaomin Shi

arxiv:1607.00721 v1 · 2016-07-04 · q-fin.MF · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XKSHMPOJS6ULLYJIQVTBAJIPVC}

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 2026-05-18T01:11:34.378423Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

baa4763dc997a8b5e128856610250fa88c1070ca40cf4cd1a71064c136946c6d

Aliases

arxiv: 1607.00721 · arxiv_version: 1607.00721v1 · doi: 10.48550/arxiv.1607.00721 · pith_short_12: XKSHMPOJS6UL · pith_short_16: XKSHMPOJS6ULLYJI · pith_short_8: XKSHMPOJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XKSHMPOJS6ULLYJIQVTBAJIPVC \
  | 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: baa4763dc997a8b5e128856610250fa88c1070ca40cf4cd1a71064c136946c6d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "57265be1628f29dddad4f55ccf19156f2a7d2a807323b97f04c84a76ae284a14",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-07-04T02:21:53Z",
    "title_canon_sha256": "02e3ce3b612db8a5c02db8087f0cfeda7f3ae3a02506caedbc0a8bdf167a5728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00721",
    "kind": "arxiv",
    "version": 1
  }
}