Pith Number

pith:VTKYJXCR

pith:2012:VTKYJXCREQ4K4TD5VT3AT43JTQ

not attested not anchored not stored refs pending

Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries

Gilles Meyer, Luca Amodei, P.-A. Absil

arxiv:1209.0068 v1 · 2012-09-01 · math.OC · math.DG · 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{VTKYJXCREQ4K4TD5VT3AT43JTQ}

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	2026-05-18T03:46:30.114123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd584dc512438ae4c7dacf609f3699c03dfd163822db012f9c75b13df8fe095

Aliases

arxiv: 1209.0068 · arxiv_version: 1209.0068v1 · doi: 10.48550/arxiv.1209.0068 · pith_short_12: VTKYJXCREQ4K · pith_short_16: VTKYJXCREQ4K4TD5 · pith_short_8: VTKYJXCR

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/VTKYJXCREQ4K4TD5VT3AT43JTQ \
  | 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: acd584dc512438ae4c7dacf609f3699c03dfd163822db012f9c75b13df8fe095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2f4d2874a70e1d271fe91f8c43d542fed6bcdbe80cfe702fd30b3cf0ba3814",
    "cross_cats_sorted": [
      "math.DG",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-09-01T08:16:03Z",
    "title_canon_sha256": "7b4bf2b09413c355a1ca801c718980f9b051c21a8e88d02a8af8b7da3d0c04e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0068",
    "kind": "arxiv",
    "version": 1
  }
}