Pith Number

pith:OPRI3XVI

pith:2016:OPRI3XVIFOX5FU4XS5MK4DZ5V7

not attested not anchored not stored refs pending

Necessary Optimality Conditions for Optimal Control Problems with Equilibrium Constraints

Jane Ye, Lei Guo

arxiv:1605.00158 v1 · 2016-04-30 · math.OC

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

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	2026-05-18T01:15:56.584410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e28ddea82bafd2d3979758ae0f3dafc62b696f417dd17ca575062c761f2417

Aliases

arxiv: 1605.00158 · arxiv_version: 1605.00158v1 · doi: 10.48550/arxiv.1605.00158 · pith_short_12: OPRI3XVIFOX5 · pith_short_16: OPRI3XVIFOX5FU4X · pith_short_8: OPRI3XVI

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/OPRI3XVIFOX5FU4XS5MK4DZ5V7 \
  | 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: 73e28ddea82bafd2d3979758ae0f3dafc62b696f417dd17ca575062c761f2417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c4f5ae607a2a2c429d6673609f41ec765d2937b9acbb984bc58867718be750e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-30T20:01:52Z",
    "title_canon_sha256": "f3a9227e5032e0965926ff3847787e30fcf9941d75dd427694dd827841678424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00158",
    "kind": "arxiv",
    "version": 1
  }
}