Pith Number

pith:CQYD5JJD

pith:2016:CQYD5JJDDZLPCEXSRAUBDD5RY5

not attested not anchored not stored refs pending

Gradient-Based Multiobjective Optimization with Uncertainties

Michael Dellnitz, Sebastian Peitz

arxiv:1612.03815 v2 · 2016-12-12 · 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{CQYD5JJDDZLPCEXSRAUBDD5RY5}

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	2026-05-18T00:09:10.209764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14303ea5231e56f112f28828118fb1c743b686eeaba7687a064a3f4e7fdd6d50

Aliases

arxiv: 1612.03815 · arxiv_version: 1612.03815v2 · doi: 10.48550/arxiv.1612.03815 · pith_short_12: CQYD5JJDDZLP · pith_short_16: CQYD5JJDDZLPCEXS · pith_short_8: CQYD5JJD

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/CQYD5JJDDZLPCEXSRAUBDD5RY5 \
  | 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: 14303ea5231e56f112f28828118fb1c743b686eeaba7687a064a3f4e7fdd6d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7410d29d5492c1e9d5371fcf48458d60c2661d59fd2c86740781d725d7668cf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-12T17:50:31Z",
    "title_canon_sha256": "8510e3325f89cb97c038e19272bf6f63af84df098d87d5d3d6e85748cb1536ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03815",
    "kind": "arxiv",
    "version": 2
  }
}