Pith Number

pith:C3FXX36P

pith:2021:C3FXX36PINNAQJ56LI3F5PEIH5

not attested not anchored not stored refs pending

Optimal control of nonconvex integro-differential sweeping processes

Abderrahim Bouach, Boris S. Mordukhovich, Tahar Haddad

arxiv:2103.15243 v1 · 2021-03-28 · 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{C3FXX36PINNAQJ56LI3F5PEIH5}

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	2026-07-05T02:27:04.087129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16cb7befcf435a0827be5a365ebc883f445d7d3fab61b1b7ed34d7f006ee8e6d

Aliases

arxiv: 2103.15243 · arxiv_version: 2103.15243v1 · doi: 10.48550/arxiv.2103.15243 · pith_short_12: C3FXX36PINNA · pith_short_16: C3FXX36PINNAQJ56 · pith_short_8: C3FXX36P

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/C3FXX36PINNAQJ56LI3F5PEIH5 \
  | 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: 16cb7befcf435a0827be5a365ebc883f445d7d3fab61b1b7ed34d7f006ee8e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90413a5aba1bf1d204cfa99e8544c37eb4f4936afc9e1434fc4093fbe2d97d54",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-03-28T23:27:27Z",
    "title_canon_sha256": "666514ee3697ccb975d35555c85745ed1fa894d6d623e562c9f806b2cdee7328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15243",
    "kind": "arxiv",
    "version": 1
  }
}