Pith Number

pith:YA2RGAPY

pith:2025:YA2RGAPYUVLEWYEGANGKRMRD7V

not attested not anchored not stored refs pending

Non-Euclidean dual gradient ascent for entropically regularized linear and semidefinite programming

Michael Lindsey, Yuhang Cai

arxiv:2506.09711 v2 · 2025-06-11 · math.OC · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YA2RGAPYUVLEWYEGANGKRMRD7V}

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	2026-07-05T11:30:01.553657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0351301f8a5564b6086034ca8b223fd40030f427e760cbd55d4d5ad3dd71f41

Aliases

arxiv: 2506.09711 · arxiv_version: 2506.09711v2 · doi: 10.48550/arxiv.2506.09711 · pith_short_12: YA2RGAPYUVLE · pith_short_16: YA2RGAPYUVLEWYEG · pith_short_8: YA2RGAPY

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/YA2RGAPYUVLEWYEGANGKRMRD7V \
  | 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: c0351301f8a5564b6086034ca8b223fd40030f427e760cbd55d4d5ad3dd71f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80dbff7ff7d05026ca499b2fff9d6c363c22497533d56282f3abeaf15ce974fe",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-11T13:24:18Z",
    "title_canon_sha256": "8d04419da9df81a6c01d7992eed573ffd1214fdfcdfc5fee2f68a1386decd67a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09711",
    "kind": "arxiv",
    "version": 2
  }
}