Pith Number

pith:Z2XV62PC

pith:2015:Z2XV62PC2H5AJOV2X4LLTAPEWJ

not attested not anchored not stored refs pending

A Homotopy Method for Large-Scale Multi-Objective Optimization

Andreas Adelmann, Andrew Foster, Peter Arbenz, Yves Ineichen

arxiv:1505.02899 v1 · 2015-05-12 · 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{Z2XV62PC2H5AJOV2X4LLTAPEWJ}

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	2026-05-18T02:14:15.668289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceaf5f69e2d1fa04bababf16b981e4b27007a062cfacade5f4e53c93ea16f23c

Aliases

arxiv: 1505.02899 · arxiv_version: 1505.02899v1 · doi: 10.48550/arxiv.1505.02899 · pith_short_12: Z2XV62PC2H5A · pith_short_16: Z2XV62PC2H5AJOV2 · pith_short_8: Z2XV62PC

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/Z2XV62PC2H5AJOV2X4LLTAPEWJ \
  | 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: ceaf5f69e2d1fa04bababf16b981e4b27007a062cfacade5f4e53c93ea16f23c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05cbdd650ebf6b6f86767fc72847d77b728c1c96f8ad8ecabec0fd6a9144900",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-05-12T08:14:51Z",
    "title_canon_sha256": "169fe1044f681393c4f09732693e64b3dbc4998f23d6637afc3479e6a2005a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02899",
    "kind": "arxiv",
    "version": 1
  }
}