Pith Number

pith:PUC7L7YG

pith:2020:PUC7L7YGIWY5ASOWEL7ESH2FRU

not attested not anchored not stored refs pending

Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes

Boris S. Mordukhovich, Dao Nguyen

arxiv:2004.13884 v2 · 2020-04-28 · 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{PUC7L7YGIWY5ASOWEL7ESH2FRU}

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	2026-07-05T01:02:17.736385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d05f5ff0645b1d049d622fe491f458d25d94028526636f7296d3bc869f34bda

Aliases

arxiv: 2004.13884 · arxiv_version: 2004.13884v2 · doi: 10.48550/arxiv.2004.13884 · pith_short_12: PUC7L7YGIWY5 · pith_short_16: PUC7L7YGIWY5ASOW · pith_short_8: PUC7L7YG

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/PUC7L7YGIWY5ASOWEL7ESH2FRU \
  | 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: 7d05f5ff0645b1d049d622fe491f458d25d94028526636f7296d3bc869f34bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f905baa71f7ecf953eb50ddaac3e60a0fda6a0ad80c4ab90b05a4b0e05982d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-04-28T23:12:50Z",
    "title_canon_sha256": "75328012c1fb6a0762893089cd63f22091fed7adad7ee577f5abe5d6d311fbd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13884",
    "kind": "arxiv",
    "version": 2
  }
}