Pith Number

pith:JQW3VKCP

pith:2018:JQW3VKCPAWY7SEKNOZVLQUTTXF

not attested not anchored not stored refs pending

Optimization of a perturbed sweeping process by constrained discontinuous controls

Boris S. Mordukhovich, Dao Nguyen, Giovanni Colombo

arxiv:1808.04041 v1 · 2018-08-13 · 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{JQW3VKCPAWY7SEKNOZVLQUTTXF}

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	2026-05-18T00:08:19.008206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2dbaa84f05b1f9114d766ab85273b96f5c929f76a56e1c9eabe6e2ed571b3d

Aliases

arxiv: 1808.04041 · arxiv_version: 1808.04041v1 · doi: 10.48550/arxiv.1808.04041 · pith_short_12: JQW3VKCPAWY7 · pith_short_16: JQW3VKCPAWY7SEKN · pith_short_8: JQW3VKCP

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/JQW3VKCPAWY7SEKNOZVLQUTTXF \
  | 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: 4c2dbaa84f05b1f9114d766ab85273b96f5c929f76a56e1c9eabe6e2ed571b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9173ea577239d6257eb974ef22086b0e18b4a15862ed11fbb4dccf90fe44cca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-08-13T02:01:40Z",
    "title_canon_sha256": "d0dae7279c35253ebf784e3d2d6c7fd62a5aaa6606f58d7ba6bd9c907adc8dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04041",
    "kind": "arxiv",
    "version": 1
  }
}