Pith Number

pith:ICWD4INQ

pith:2019:ICWD4INQXWYEF6JDL4S5OCCLPJ

not attested not anchored not stored refs pending

Subdifferentials and Stability Analysis of Feasible Set and Pareto Front Mappings in Linear Multiobjective Optimization

Boris Mordukhovich, Juan Parra, Marco A. L\'opez, Mar\'ia J. C\'anovas

arxiv:1907.09985 v1 · 2019-07-23 · 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{ICWD4INQXWYEF6JDL4S5OCCLPJ}

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	2026-05-17T23:39:49.486189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ac3e21b0bdb042f9235f25d7084b7a7d29c35472c5e9ab43bdc0483324132c

Aliases

arxiv: 1907.09985 · arxiv_version: 1907.09985v1 · doi: 10.48550/arxiv.1907.09985 · pith_short_12: ICWD4INQXWYE · pith_short_16: ICWD4INQXWYEF6JD · pith_short_8: ICWD4INQ

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/ICWD4INQXWYEF6JDL4S5OCCLPJ \
  | 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: 40ac3e21b0bdb042f9235f25d7084b7a7d29c35472c5e9ab43bdc0483324132c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e179824cb369d52e4830b509d19ac14973a6cdeffcdf7138eafe75c4fec2e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-23T16:32:49Z",
    "title_canon_sha256": "1b9ab087a6a33976e81fd07125beae04412e7a63fdee0d2fdc94402022ee9ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09985",
    "kind": "arxiv",
    "version": 1
  }
}