Pith Number

pith:5YLQLIWL

pith:2025:5YLQLIWLS2ZMKRBJXIDGC6FDLF

not attested not anchored not stored refs pending

Recursive Bound-Constrained AdaGrad with Applications to Multilevel and Domain Decomposition Minimization

Alena Kopani\v{c}\'akov\'a, Philippe Toint, Serge Gratton

arxiv:2507.11513 v1 · 2025-07-15 · math.OC · cs.AI · 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{5YLQLIWLS2ZMKRBJXIDGC6FDLF}

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	2026-07-05T11:37:40.301349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1705a2cb96b2c54429ba066178a35946311582a1af409de400e8158fc2984c

Aliases

arxiv: 2507.11513 · arxiv_version: 2507.11513v1 · doi: 10.48550/arxiv.2507.11513 · pith_short_12: 5YLQLIWLS2ZM · pith_short_16: 5YLQLIWLS2ZMKRBJ · pith_short_8: 5YLQLIWL

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/5YLQLIWLS2ZMKRBJXIDGC6FDLF \
  | 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: ee1705a2cb96b2c54429ba066178a35946311582a1af409de400e8158fc2984c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388297f242d8d3f585dbd66294047c139f6f72dbdb75ce2164041a9daac4fc80",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-15T17:32:10Z",
    "title_canon_sha256": "55644031f976705d82920b3ce17d358aab997da042b62ab756633f0e9fa0d4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11513",
    "kind": "arxiv",
    "version": 1
  }
}