Pith Number

pith:337LJZ2W

pith:2026:337LJZ2WGDVGCZVKRGWZBDGA3E

not attested not anchored not stored refs pending

A Twin gradient method for unconstrained optimization

Anna De Magistris, Gerardo Toraldo, Michiel E. Hochstenbach

arxiv:2607.11575 v1 · 2026-07-13 · math.NA · cs.NA · 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{337LJZ2WGDVGCZVKRGWZBDGA3E}

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	2026-07-14T02:22:12.892903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

defeb4e75630ea6166aa89ad908cc0d9385725aafcdcf733582a156f5f56d87d

Aliases

arxiv: 2607.11575 · arxiv_version: 2607.11575v1 · doi: 10.48550/arxiv.2607.11575 · pith_short_12: 337LJZ2WGDVG · pith_short_16: 337LJZ2WGDVGCZVK · pith_short_8: 337LJZ2W

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/337LJZ2WGDVGCZVKRGWZBDGA3E \
  | 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: defeb4e75630ea6166aa89ad908cc0d9385725aafcdcf733582a156f5f56d87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015f9b070edd9bbf9adb8ce7064a55647a88000ccb7a6501ef5af2bc3772e031",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-13T13:55:34Z",
    "title_canon_sha256": "06dc8a19f595318ebd9d3ced5967b42aacf2eb569bed3b426865804d20bb6b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11575",
    "kind": "arxiv",
    "version": 1
  }
}