Pith Number

pith:4RABA6JN

pith:2018:4RABA6JN2OPRGYK4BTEIDLVHSD

not attested not anchored not stored refs pending

Second-Order Necessary Conditions for Optimal Control with Recursive Utilities

Qingxin Meng, Yuchao Dong

arxiv:1802.09242 v1 · 2018-02-26 · 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{4RABA6JN2OPRGYK4BTEIDLVHSD}

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	2026-05-18T00:22:34.306305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44010792dd39f13615c0cc881aea790dea722fc52942004e2bb6aca7c3ac018

Aliases

arxiv: 1802.09242 · arxiv_version: 1802.09242v1 · doi: 10.48550/arxiv.1802.09242 · pith_short_12: 4RABA6JN2OPR · pith_short_16: 4RABA6JN2OPRGYK4 · pith_short_8: 4RABA6JN

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/4RABA6JN2OPRGYK4BTEIDLVHSD \
  | 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: e44010792dd39f13615c0cc881aea790dea722fc52942004e2bb6aca7c3ac018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638f67cb4ae37d67824710a8d195c2847724dd561427d5710aa7fac2252e09c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-26T10:50:53Z",
    "title_canon_sha256": "e497f9ab00bbbc50b1c5c6fb9708c052323fa5026f7b7dcea64d6963315e2761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09242",
    "kind": "arxiv",
    "version": 1
  }
}