Pith Number

pith:PU6KLGG3

pith:2010:PU6KLGG35VJLR5LIIVHVXPL65R

not attested not anchored not stored refs pending

Stability and preconditioning for a hybrid approximation on the sphere

Andrew J. Wathen, Ian H. Sloan, Q. T. Le Gia

arxiv:1009.4275 v1 · 2010-09-22 · 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{PU6KLGG35VJLR5LIIVHVXPL65R}

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	2026-05-18T04:40:33.510555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3ca598dbed52b8f568454f5bbd7eec4d2ad736fa36b9391489414d3adc90ad

Aliases

arxiv: 1009.4275 · arxiv_version: 1009.4275v1 · doi: 10.48550/arxiv.1009.4275 · pith_short_12: PU6KLGG35VJL · pith_short_16: PU6KLGG35VJLR5LI · pith_short_8: PU6KLGG3

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/PU6KLGG35VJLR5LIIVHVXPL65R \
  | 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: 7d3ca598dbed52b8f568454f5bbd7eec4d2ad736fa36b9391489414d3adc90ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6b07c54547298e985fb50d0d2ad70162adea60c8a4caee8bbe288d208ab9161",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-09-22T05:46:24Z",
    "title_canon_sha256": "8e3e3174ef33179bcbbf989dceecbd6d061ce4695b4eeb67f5f9a8e9bc2f68c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4275",
    "kind": "arxiv",
    "version": 1
  }
}