Pith Number

pith:ENRELI6N

pith:2025:ENRELI6NESOMVHALH6O7IWQXIX

not attested not anchored not stored refs pending

Characterizations of Variational Convexity and Tilt Stability via Quadratic Bundles

Boris S. Mordukhovich, Le Duc Viet, Pham Duy Khanh, Vo Thanh Phat

arxiv:2501.04629 v1 · 2025-01-08 · 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{ENRELI6NESOMVHALH6O7IWQXIX}

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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.

Cited by

1 paper in Pith

Second-Order Characterizations of Tilt Stability in Composite Optimization

Receipt and verification

First computed	2026-07-05T09:58:38.277372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236245a3cd249cca9c0b3f9df45a1745d7f832109388e5b59b3f2ed36cd89b0f

Aliases

arxiv: 2501.04629 · arxiv_version: 2501.04629v1 · doi: 10.48550/arxiv.2501.04629 · pith_short_12: ENRELI6NESOM · pith_short_16: ENRELI6NESOMVHAL · pith_short_8: ENRELI6N

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/ENRELI6NESOMVHALH6O7IWQXIX \
  | 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: 236245a3cd249cca9c0b3f9df45a1745d7f832109388e5b59b3f2ed36cd89b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139a0bc2ac7e1ea54ceb6cfb322d69b72f7d81dba030f68f79dd9d5a0fdab742",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-08T17:20:55Z",
    "title_canon_sha256": "acecc286b2b94e6b2746a745ea9a9539ee0fe939bd5c7889517d69193ed3e9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04629",
    "kind": "arxiv",
    "version": 1
  }
}