Pith Number

pith:MH6TDYTC

pith:2024:MH6TDYTCNZK7WHNO7PV2BBV7EP

not attested not anchored not stored refs pending

Decomposition-Invariant Pairwise Frank-Wolfe Algorithm for Constrained Multiobjective Optimization

Liping Tang, Zhuoxin Fan

arxiv:2409.04671 v1 · 2024-09-07 · 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{MH6TDYTCNZK7WHNO7PV2BBV7EP}

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	2026-07-05T09:04:16.149627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61fd31e2626e55fb1daefbeba086bf23c9f6b1bf09449dedb0df9bf3920db238

Aliases

arxiv: 2409.04671 · arxiv_version: 2409.04671v1 · doi: 10.48550/arxiv.2409.04671 · pith_short_12: MH6TDYTCNZK7 · pith_short_16: MH6TDYTCNZK7WHNO · pith_short_8: MH6TDYTC

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/MH6TDYTCNZK7WHNO7PV2BBV7EP \
  | 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: 61fd31e2626e55fb1daefbeba086bf23c9f6b1bf09449dedb0df9bf3920db238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad539409fa93b5c43614594b464962fbfec3438209b18555fab8edd5acaa6bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-07T01:26:48Z",
    "title_canon_sha256": "7ca7032ed1996d4f970a909d63857d380059037ecbebb572c7afa54aec23221d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.04671",
    "kind": "arxiv",
    "version": 1
  }
}