Pith Number

pith:3Y7X2EJA

pith:2015:3Y7X2EJARQ2OWFFEGH36VVVYY6

not attested not anchored not stored refs pending

Optimality conditions for a controlled sweeping process with applications to the crowd motion model

Boris S. Mordukhovich, Tan H. Cao

arxiv:1511.08923 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{3Y7X2EJARQ2OWFFEGH36VVVYY6}

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	2026-05-18T01:25:46.097381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de3f7d11208c34eb14a431f7ead6b8c7883425ec26473560b4f2981797fecc3b

Aliases

arxiv: 1511.08923 · arxiv_version: 1511.08923v1 · doi: 10.48550/arxiv.1511.08923 · pith_short_12: 3Y7X2EJARQ2O · pith_short_16: 3Y7X2EJARQ2OWFFE · pith_short_8: 3Y7X2EJA

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/3Y7X2EJARQ2OWFFEGH36VVVYY6 \
  | 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: de3f7d11208c34eb14a431f7ead6b8c7883425ec26473560b4f2981797fecc3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63221ab89832c5f79fafba21b6d2b2303cbdec89320c3cc28328320df6543f64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-11-28T19:42:55Z",
    "title_canon_sha256": "4305e9aa22f513c524ba46716f6e42e0b30b71493b1197735f8dda24107063ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08923",
    "kind": "arxiv",
    "version": 1
  }
}