Pith Number

pith:Q7L5PURT

pith:2026:Q7L5PURTGE7LONASXSBXYV43GO

not attested not anchored not stored refs pending

Complementary families of approximating polynomials with applications to finite element methods applied to differential equations of arbitrary even spatial order

Peter K Moore

arxiv:2606.31829 v1 · 2026-06-30 · 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{Q7L5PURTGE7LONASXSBXYV43GO}

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	2026-07-01T01:18:16.911618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d7d7d233313eb73412bc837c579b338224dedc8e7848f34608988b26728ff1

Aliases

arxiv: 2606.31829 · arxiv_version: 2606.31829v1 · doi: 10.48550/arxiv.2606.31829 · pith_short_12: Q7L5PURTGE7L · pith_short_16: Q7L5PURTGE7LONAS · pith_short_8: Q7L5PURT

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/Q7L5PURTGE7LONASXSBXYV43GO \
  | 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: 87d7d7d233313eb73412bc837c579b338224dedc8e7848f34608988b26728ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20bc78b8914597d27ff8c391c886f350631a2ddb60b6c8115526bfcafb7933e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-30T15:36:20Z",
    "title_canon_sha256": "587701cc1e7bde6ced49a7744c45902ea323437be8f118f080eaea5c54b9ca55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31829",
    "kind": "arxiv",
    "version": 1
  }
}