Pith Number

pith:LI4HDULN

pith:2026:LI4HDULNKK3KJ5VZWJXPIBYWUX

not attested not anchored not stored refs pending

An augmented Lagrangian algorithm for constrained nonlinear least-squares

Fabian Bastin, Pierre Borie, St\'ephane Dellacherie

arxiv:2607.11239 v1 · 2026-07-13 · 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{LI4HDULNKK3KJ5VZWJXPIBYWUX}

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	2026-07-14T01:22:24.155413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a3871d16d52b6a4f6b9b26ef40716a5f45946ca208d7ef75f17fa5d09377546

Aliases

arxiv: 2607.11239 · arxiv_version: 2607.11239v1 · doi: 10.48550/arxiv.2607.11239 · pith_short_12: LI4HDULNKK3K · pith_short_16: LI4HDULNKK3KJ5VZ · pith_short_8: LI4HDULN

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/LI4HDULNKK3KJ5VZWJXPIBYWUX \
  | 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: 5a3871d16d52b6a4f6b9b26ef40716a5f45946ca208d7ef75f17fa5d09377546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f6b426d0295d710c09f4f100d9718961ec3468ffcd992c8338b3ad0e9166834",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-13T08:24:16Z",
    "title_canon_sha256": "22ed648ba38f6cee3fecafa7951ef3e022e99f4a57d107930610af2ce9cbb310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11239",
    "kind": "arxiv",
    "version": 1
  }
}