Pith Number

pith:43CNF3J6

pith:2015:43CNF3J6NNL65SC3XCBYIXRK7E

not attested not anchored not stored refs pending

Optimal control of a perturbed sweeping process via discrete discrete approximations

Boris S. Mordukhovich, Tan H. Cao

arxiv:1511.08922 v1 · 2015-11-28 · 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{43CNF3J6NNL65SC3XCBYIXRK7E}

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	2026-05-18T01:25:46.103799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c4d2ed3e6b57eec85bb883845e2af91e34a69c9798c013c84565894ff4657e

Aliases

arxiv: 1511.08922 · arxiv_version: 1511.08922v1 · doi: 10.48550/arxiv.1511.08922 · pith_short_12: 43CNF3J6NNL6 · pith_short_16: 43CNF3J6NNL65SC3 · pith_short_8: 43CNF3J6

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/43CNF3J6NNL65SC3XCBYIXRK7E \
  | 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: e6c4d2ed3e6b57eec85bb883845e2af91e34a69c9798c013c84565894ff4657e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2136f7a49e647cac9387160aa9771ffc29e3b110af5eb52cf0a36aca9073b8bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-28T19:33:51Z",
    "title_canon_sha256": "80594537e331644fbffc0de9e1e0b119e20ab7d53118d9f093337655c5deff61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08922",
    "kind": "arxiv",
    "version": 1
  }
}