Pith Number

pith:QT4ROUJO

pith:2025:QT4ROUJO5ADDJH2VQFW3G3BJGT

not attested not anchored not stored refs pending

Pseudo basic steps: Bound improvement guarantees from Lagrangian decomposition in convex disjunctive programming

Dimitri J. Papageorgiou, Francisco Trespalacios

arxiv:2501.15345 v1 · 2025-01-25 · 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{QT4ROUJO5ADDJH2VQFW3G3BJGT}

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	2026-07-05T10:05:27.766711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f917512ee806349f55816db36c2934eca5ef8b0a3a74a63e03644619bd5d1e

Aliases

arxiv: 2501.15345 · arxiv_version: 2501.15345v1 · doi: 10.48550/arxiv.2501.15345 · pith_short_12: QT4ROUJO5ADD · pith_short_16: QT4ROUJO5ADDJH2V · pith_short_8: QT4ROUJO

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/QT4ROUJO5ADDJH2VQFW3G3BJGT \
  | 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: 84f917512ee806349f55816db36c2934eca5ef8b0a3a74a63e03644619bd5d1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3334d882d3d89a52781329d52132976a02592ab9ae0767589122218d25ea47e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-25T23:05:28Z",
    "title_canon_sha256": "d4929cbed540a9295cc4ebb54c39a6f25a5836e19cb401694227e290418df65b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15345",
    "kind": "arxiv",
    "version": 1
  }
}