Pith Number

pith:IE7ZR7SZ

pith:2016:IE7ZR7SZNOLJO2XJDV7SA5BJDC

not attested not anchored not stored refs pending

Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems

Falk M. Hante, Martin Gugat

arxiv:1612.04639 v2 · 2016-12-14 · 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{IE7ZR7SZNOLJO2XJDV7SA5BJDC}

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	2026-05-18T00:53:04.812953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

413f98fe596b96976ae91d7f20742918ba38980c5e4db417adc4c09296cf18ca

Aliases

arxiv: 1612.04639 · arxiv_version: 1612.04639v2 · doi: 10.48550/arxiv.1612.04639 · pith_short_12: IE7ZR7SZNOLJ · pith_short_16: IE7ZR7SZNOLJO2XJ · pith_short_8: IE7ZR7SZ

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/IE7ZR7SZNOLJO2XJDV7SA5BJDC \
  | 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: 413f98fe596b96976ae91d7f20742918ba38980c5e4db417adc4c09296cf18ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074f915e7d07d3e7cf77659232db8c322bd819bb5bb546339bf8228de6bf13db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-14T13:52:49Z",
    "title_canon_sha256": "ba595dbc61ab8a4e917636ac21101849c9549d55db734a6a52a7695ae4415426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04639",
    "kind": "arxiv",
    "version": 2
  }
}