Pith Number

pith:XUAVR7YL

pith:2021:XUAVR7YLO5SM7US2W5GX7ZZVGQ

not attested not anchored not stored refs pending

An $\ell_p$ Variable Projection Method for Large-Scale Separable Nonlinear Inverse Problems

Malena Espanol, Mirjeta Pasha

arxiv:2105.14155 v1 · 2021-05-29 · math.NA · cs.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{XUAVR7YLO5SM7US2W5GX7ZZVGQ}

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	2026-07-05T02:44:20.884558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd0158ff0b7764cfd25ab74d7fe7353422d57567ac8b03c166b5d85a78b949e4

Aliases

arxiv: 2105.14155 · arxiv_version: 2105.14155v1 · doi: 10.48550/arxiv.2105.14155 · pith_short_12: XUAVR7YLO5SM · pith_short_16: XUAVR7YLO5SM7US2 · pith_short_8: XUAVR7YL

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/XUAVR7YLO5SM7US2W5GX7ZZVGQ \
  | 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: bd0158ff0b7764cfd25ab74d7fe7353422d57567ac8b03c166b5d85a78b949e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558571e0afccb5da1d3d09f7b63798fc0e32adee488367a44b07096c56c969f3",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-05-29T00:20:25Z",
    "title_canon_sha256": "efb189e703d7042d11c457285ff20be987509e016dbc0f34cfca90c4cc0f1cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.14155",
    "kind": "arxiv",
    "version": 1
  }
}