Pith Number

pith:BJYJ43YJ

pith:2016:BJYJ43YJKFAEO2K57ZTALSXUWT

not attested not anchored not stored refs pending

Strong local optimality for a bang-bang-singular extremal: the fixed-free case

Gianna Stefani, Laura Poggiolini

arxiv:1608.02017 v1 · 2016-08-05 · 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{BJYJ43YJKFAEO2K57ZTALSXUWT}

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	2026-05-18T01:09:41.145582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a709e6f09514047695dfe6605caf4b4cb5cf866bfafbb12d25be7dc47ffafd6

Aliases

arxiv: 1608.02017 · arxiv_version: 1608.02017v1 · doi: 10.48550/arxiv.1608.02017 · pith_short_12: BJYJ43YJKFAE · pith_short_16: BJYJ43YJKFAEO2K5 · pith_short_8: BJYJ43YJ

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/BJYJ43YJKFAEO2K57ZTALSXUWT \
  | 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: 0a709e6f09514047695dfe6605caf4b4cb5cf866bfafbb12d25be7dc47ffafd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be1fcd2f94e107046069f7faae8397193112bde59f698673d9cf559b80a509d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-05T20:48:00Z",
    "title_canon_sha256": "1e7e3afab3e829fd5bd1265c0f2883c423c431d831597f00d26306b4767c0be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02017",
    "kind": "arxiv",
    "version": 1
  }
}