Pith Number

pith:D73FARKQ

pith:2017:D73FARKQKDSHXL43OHBUHOXQHK

not attested not anchored not stored refs pending

Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems

M. Soledad Aronna

arxiv:1703.00875 v2 · 2017-03-02 · 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{D73FARKQKDSHXL43OHBUHOXQHK}

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	2026-05-17T23:56:30.349646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ff650455050e47baf9b71c343baf03a81ef4f192f273e4b2caea2ea3fbc1be6

Aliases

arxiv: 1703.00875 · arxiv_version: 1703.00875v2 · doi: 10.48550/arxiv.1703.00875 · pith_short_12: D73FARKQKDSH · pith_short_16: D73FARKQKDSHXL43 · pith_short_8: D73FARKQ

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/D73FARKQKDSHXL43OHBUHOXQHK \
  | 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: 1ff650455050e47baf9b71c343baf03a81ef4f192f273e4b2caea2ea3fbc1be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a084bfc13fd959254554b458b3695b3d95569a9a7a29af5e9f01ab6332a8b31c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-03-02T18:01:43Z",
    "title_canon_sha256": "5723b745be63ddc9fb3d61d3dd0d5cbeb9e80ba9be77f0ca66f43068a81bd259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00875",
    "kind": "arxiv",
    "version": 2
  }
}