Pith Number

pith:Z4MBGMUH

pith:2015:Z4MBGMUHVYGDWN2X7KOUG45QSE

not attested not anchored not stored refs pending

Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions

Boris S. Mordukhovich, Helmut Gfrerer

arxiv:1503.04548 v2 · 2015-03-16 · 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{Z4MBGMUHVYGDWN2X7KOUG45QSE}

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	2026-05-18T00:57:05.020946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf18133287ae0c3b3757fa9d4373b091309428e1e6c9960d8da077e0dd2e3b19

Aliases

arxiv: 1503.04548 · arxiv_version: 1503.04548v2 · doi: 10.48550/arxiv.1503.04548 · pith_short_12: Z4MBGMUHVYGD · pith_short_16: Z4MBGMUHVYGDWN2X · pith_short_8: Z4MBGMUH

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/Z4MBGMUHVYGDWN2X7KOUG45QSE \
  | 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: cf18133287ae0c3b3757fa9d4373b091309428e1e6c9960d8da077e0dd2e3b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b809f143504627e48c1d664a9e818a7c5be5a05a406eb10de4ab26ab37d624d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-16T07:28:21Z",
    "title_canon_sha256": "5e28709734c9e6dc551ce5c8cc298a9c52438502af49bf739ddf4a3db4fe7603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04548",
    "kind": "arxiv",
    "version": 2
  }
}