Pith Number

pith:2EQHTDDA

pith:2026:2EQHTDDAX4DZL4HROE4IFUDD37

not attested not anchored not stored refs pending

A modified Riemannian Levenberg-Marquardt Algorithm for robust or constraint optimization on manifolds

Mateusz Baran, Ronny Bergmann

arxiv:2606.23560 v1 · 2026-06-22 · 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{2EQHTDDAX4DZL4HROE4IFUDD37}

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	2026-06-23T03:14:30.871762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d120798c60bf0795f0f1713882d063dfee67264fce4b229fa846d61527e5716d

Aliases

arxiv: 2606.23560 · arxiv_version: 2606.23560v1 · doi: 10.48550/arxiv.2606.23560 · pith_short_12: 2EQHTDDAX4DZ · pith_short_16: 2EQHTDDAX4DZL4HR · pith_short_8: 2EQHTDDA

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/2EQHTDDAX4DZL4HROE4IFUDD37 \
  | 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: d120798c60bf0795f0f1713882d063dfee67264fce4b229fa846d61527e5716d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "184e7ce26b2e4de30a145d4733466990eb2be5afb71004ad43f92d1a029718a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-22T16:29:26Z",
    "title_canon_sha256": "5677cdab7b908e012b0141a8fd8e2a9cc6c62ef3eb719350fdae1f2e63c95491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23560",
    "kind": "arxiv",
    "version": 1
  }
}