Pith Number

pith:UMPI2EZW

pith:2024:UMPI2EZWT5NNPQSSZCIAPMQIJQ

not attested not anchored not stored refs pending

Bishop-Phelps Type Scalarization for Vector Optimization in Real Topological-Linear Spaces

Bahareh Khazayel, Christiane Tammer, Christian G\"unther, Radu Strugariu

arxiv:2410.10026 v4 · 2024-10-13 · math.OC · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMPI2EZWT5NNPQSSZCIAPMQIJQ}

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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

Proper efficiency results in vector optimisation in real linear-topological spaces based on vectorial penalisation

Receipt and verification

First computed	2026-06-30T01:17:20.816581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31e8d13369f5ad7c252c89007b2084c3125955ac924776ce91828bb5b2f132f

Aliases

arxiv: 2410.10026 · arxiv_version: 2410.10026v4 · doi: 10.48550/arxiv.2410.10026 · pith_short_12: UMPI2EZWT5NN · pith_short_16: UMPI2EZWT5NNPQSS · pith_short_8: UMPI2EZW

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/UMPI2EZWT5NNPQSSZCIAPMQIJQ \
  | 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: a31e8d13369f5ad7c252c89007b2084c3125955ac924776ce91828bb5b2f132f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721329fc2d4b125da9a6898aaf157ed9f8c14faaec535544094dd63c88454811",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-10-13T21:55:57Z",
    "title_canon_sha256": "d9f85a19f9ca57f188bf7ecbdf3e6ad92cf12e98229ef9cd3638d9aebaa44ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.10026",
    "kind": "arxiv",
    "version": 4
  }
}