Pith Number

pith:ILWN2KGJ

pith:2024:ILWN2KGJBWMDISRS6BQR3ANNHJ

not attested not anchored not stored refs pending

Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees

Nicolas Boumal, Quentin Rebjock

arxiv:2406.14211 v1 · 2024-06-20 · 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{ILWN2KGJBWMDISRS6BQR3ANNHJ}

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.

Cited by

1 paper in Pith

First-order methods on bounded-rank tensors converging to stationary points

Receipt and verification

First computed	2026-07-05T08:34:40.481860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ecdd28c90d98344a32f0611d81ad3a6c66366c577f4c2687466a9bec2189d1

Aliases

arxiv: 2406.14211 · arxiv_version: 2406.14211v1 · doi: 10.48550/arxiv.2406.14211 · pith_short_12: ILWN2KGJBWMD · pith_short_16: ILWN2KGJBWMDISRS · pith_short_8: ILWN2KGJ

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/ILWN2KGJBWMDISRS6BQR3ANNHJ \
  | 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: 42ecdd28c90d98344a32f0611d81ad3a6c66366c577f4c2687466a9bec2189d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b6a6bde0e53c4bc779c647f9f117ff36abd7dd97bd6f5850810116eb0c60c6",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-20T11:26:57Z",
    "title_canon_sha256": "3f92b88db34acca73d22a03315eaf8a28fbb8b168b4b69e97960ac9362a7fbb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.14211",
    "kind": "arxiv",
    "version": 1
  }
}