Pith Number

pith:DLUJ43RJ

pith:2019:DLUJ43RJCQKFPDNY4HEHOTATOT

not attested not anchored not stored refs pending

Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs

Jane J. Ye, Mengwei Xu

arxiv:1912.12372 v2 · 2019-12-28 · 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{DLUJ43RJCQKFPDNY4HEHOTATOT}

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	2026-07-05T00:49:40.750868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ae89e6e291414578db8e1c8774c1374e9240c495cc0af0f0475cd99c9bdd488

Aliases

arxiv: 1912.12372 · arxiv_version: 1912.12372v2 · doi: 10.48550/arxiv.1912.12372 · pith_short_12: DLUJ43RJCQKF · pith_short_16: DLUJ43RJCQKFPDNY · pith_short_8: DLUJ43RJ

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/DLUJ43RJCQKFPDNY4HEHOTATOT \
  | 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: 1ae89e6e291414578db8e1c8774c1374e9240c495cc0af0f0475cd99c9bdd488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8ac78660db7815d3b672516a5a2642feec3a90a8755b6cce10dc9ad162d120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-28T00:06:55Z",
    "title_canon_sha256": "b4a2e888ece12e0018fa35b286c575f8a2e7a98a253e6f09301af651507c22aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12372",
    "kind": "arxiv",
    "version": 2
  }
}