Pith Number

pith:FK2YVU5F

pith:2026:FK2YVU5FUEG42CEYRUGM2SGJUO

not attested not anchored not stored refs pending

Dual Gauss--Legendre polynomials

Pawe{\l} Wo\'zny

arxiv:2606.11355 v1 · 2026-06-09 · 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{FK2YVU5FUEG42CEYRUGM2SGJUO}

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	2026-06-11T00:08:21.334410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab58ad3a5a10dcd08988d0ccd48c9a386fe861a8e1d80f06562951c3fd1c4e3

Aliases

arxiv: 2606.11355 · arxiv_version: 2606.11355v1 · doi: 10.48550/arxiv.2606.11355 · pith_short_12: FK2YVU5FUEG4 · pith_short_16: FK2YVU5FUEG42CEY · pith_short_8: FK2YVU5F

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/FK2YVU5FUEG42CEYRUGM2SGJUO \
  | 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: 2ab58ad3a5a10dcd08988d0ccd48c9a386fe861a8e1d80f06562951c3fd1c4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7740066a6a6194332ee430cdad6605aaaf0b1afc54cbc650a6e6baf9568ca59",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-09T18:32:16Z",
    "title_canon_sha256": "5986650b91da54af4d88f983bcc1eb84164f4079492bfa9c0e8615374c262bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11355",
    "kind": "arxiv",
    "version": 1
  }
}