Pith Number

pith:KI6II27B

pith:2009:KI6II27BB6CXTS2LSCPS66NQB2

not attested not anchored not stored refs pending

The hypersecant Jacobian approximation for quasi-Newton solves of sparse nonlinear systems

Johan Carlsson, John R. Cary

arxiv:0905.1054 v1 · 2009-05-07 · 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{KI6II27BB6CXTS2LSCPS66NQB2}

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	2026-06-03T23:06:25.994680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523c846be10f8579cb4b909f2f79b00ea5d17c3cfc1ca82b70ea4976414ce851

Aliases

arxiv: 0905.1054 · arxiv_version: 0905.1054v1 · doi: 10.48550/arxiv.0905.1054 · pith_short_12: KI6II27BB6CX · pith_short_16: KI6II27BB6CXTS2L · pith_short_8: KI6II27B

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/KI6II27BB6CXTS2LSCPS66NQB2 \
  | 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: 523c846be10f8579cb4b909f2f79b00ea5d17c3cfc1ca82b70ea4976414ce851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8801f143c8d7b1869c096443cb5df43e2f1be132a9e7f4a3d0be76ced413610e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-05-07T15:50:16Z",
    "title_canon_sha256": "0b23536d1f6dd1f5da264b63b435850b6cd8594651f61bac7f13a5e084287eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1054",
    "kind": "arxiv",
    "version": 1
  }
}