Pith Number

pith:A6QFL3AS

pith:2026:A6QFL3ASMT45J2X3ZXFXVM6NTO

not attested not anchored not stored refs pending

Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates

Dong H. Zhang, Jianing Liu

arxiv:2607.07623 v1 · 2026-07-08 · cs.LG · cs.NA · math.NA · physics.chem-ph · physics.comp-ph · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6QFL3ASMT45J2X3ZXFXVM6NTO}

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	2026-07-09T01:20:37.084790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07a055ec1264f9d4eafbcdcb7ab3cd9b8961e620e79bf0a418025b101d2a6190

Aliases

arxiv: 2607.07623 · arxiv_version: 2607.07623v1 · doi: 10.48550/arxiv.2607.07623 · pith_short_12: A6QFL3ASMT45 · pith_short_16: A6QFL3ASMT45J2X3 · pith_short_8: A6QFL3AS

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/A6QFL3ASMT45J2X3ZXFXVM6NTO \
  | 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: 07a055ec1264f9d4eafbcdcb7ab3cd9b8961e620e79bf0a418025b101d2a6190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f327135f42c112f4aee4bc5c04b556566475a58143599e3741210c5ce183212",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.chem-ph",
      "physics.comp-ph",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T16:39:03Z",
    "title_canon_sha256": "95c2796c35b805622cb31e215966bbfcbe84cbd33ea8ac29b515f2a2b8950c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07623",
    "kind": "arxiv",
    "version": 1
  }
}