Pith Number

pith:KPXJB6MB

pith:2012:KPXJB6MBHOCSMYLVTMETCCDXXI

not attested not anchored not stored refs pending

A fast and well-conditioned spectral method

Alex Townsend, Sheehan Olver

arxiv:1202.1347 v2 · 2012-02-07 · 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{KPXJB6MBHOCSMYLVTMETCCDXXI}

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	2026-05-18T03:48:46.465128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ee90f9813b852661759b09310877ba09716147c06506635d44b8b849cc8fbf

Aliases

arxiv: 1202.1347 · arxiv_version: 1202.1347v2 · doi: 10.48550/arxiv.1202.1347 · pith_short_12: KPXJB6MBHOCS · pith_short_16: KPXJB6MBHOCSMYLV · pith_short_8: KPXJB6MB

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/KPXJB6MBHOCSMYLVTMETCCDXXI \
  | 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: 53ee90f9813b852661759b09310877ba09716147c06506635d44b8b849cc8fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93c28f4f134c84c721cf07fb2cbc432d3721e625dc207e4e5b14ce4d9384edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-07T04:30:41Z",
    "title_canon_sha256": "57bf8d75370a8aa5e74e7082a152e892cbd26cfc949891d8527a975e7f187b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1347",
    "kind": "arxiv",
    "version": 2
  }
}