Pith Number

pith:VISWYHT6

pith:2016:VISWYHT63OEB2QBRAF5CA75PUL

not attested not anchored not stored refs pending

Characterizing weak solutions for vector optimization problems

Dang H. Long, Marco A. L\'opez, Miguel A. Goberna, Nguyen Dinh

arxiv:1602.03367 v1 · 2016-02-10 · 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{VISWYHT63OEB2QBRAF5CA75PUL}

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	2026-05-18T01:21:00.157468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa256c1e7edb881d4031017a207fafa2d6525828c9e4d95000aaaea501790d40

Aliases

arxiv: 1602.03367 · arxiv_version: 1602.03367v1 · doi: 10.48550/arxiv.1602.03367 · pith_short_12: VISWYHT63OEB · pith_short_16: VISWYHT63OEB2QBR · pith_short_8: VISWYHT6

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/VISWYHT63OEB2QBRAF5CA75PUL \
  | 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: aa256c1e7edb881d4031017a207fafa2d6525828c9e4d95000aaaea501790d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ead1ca85bd5b3da31ad4b594258fcc4c26c6846d2ccd13db8c42b754869b17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-10T13:33:57Z",
    "title_canon_sha256": "a6087f585a9771b591fff6ae7038fe66a5dcb7cc533dc0ad791063bce6e7ec4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03367",
    "kind": "arxiv",
    "version": 1
  }
}