Pith Number

pith:CVKYWGQ2

pith:2024:CVKYWGQ27DJVXVBAKHPHPQ2K4D

not attested not anchored not stored refs pending

Exact Verification of First-Order Methods via Mixed-Integer Linear Programming

Andrea Lodi, Bartolomeo Stellato, Jisun Park, Stefano Gualandi, Vinit Ranjan

arxiv:2412.11330 v6 · 2024-12-15 · 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{CVKYWGQ27DJVXVBAKHPHPQ2K4D}

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	2026-05-29T01:04:51.753604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15558b1a1af8d35bd42051de77c34ae0c8d9511bb192908768089b224f6465a7

Aliases

arxiv: 2412.11330 · arxiv_version: 2412.11330v6 · doi: 10.48550/arxiv.2412.11330 · pith_short_12: CVKYWGQ27DJV · pith_short_16: CVKYWGQ27DJVXVBA · pith_short_8: CVKYWGQ2

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/CVKYWGQ27DJVXVBAKHPHPQ2K4D \
  | 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: 15558b1a1af8d35bd42051de77c34ae0c8d9511bb192908768089b224f6465a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67def65f73689747cddfb2c80fafe61eb5b5ac6e51ba839bcf9a5efe1909fda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-15T22:20:22Z",
    "title_canon_sha256": "f21408e130dfe5870ba4ba6fc9f502b95f46e20239f539bfba36bf48516d7324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11330",
    "kind": "arxiv",
    "version": 6
  }
}