Pith Number

pith:FSXVNR43

pith:2009:FSXVNR43RGINWIF7U2QRK44H67

not attested not anchored not stored refs pending

Decompositions of Trigonometric Polynomials with Applications to Multivariate Subdivision Schemes

Maria Skopina, Nira Dyn

arxiv:0907.4355 v1 · 2009-07-24 · math.FA · cs.NA · 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{FSXVNR43RGINWIF7U2QRK44H67}

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	2026-06-03T23:06:28.001242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2caf56c79b8990db20bfa6a1157387f7d4885c1536452cd4912b4f955776980f

Aliases

arxiv: 0907.4355 · arxiv_version: 0907.4355v1 · doi: 10.48550/arxiv.0907.4355 · pith_short_12: FSXVNR43RGIN · pith_short_16: FSXVNR43RGINWIF7 · pith_short_8: FSXVNR43

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/FSXVNR43RGINWIF7U2QRK44H67 \
  | 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: 2caf56c79b8990db20bfa6a1157387f7d4885c1536452cd4912b4f955776980f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f0d28db1f71ee9c2f89b0ee384eefa9d38fce09da4206cb27f212079f25605",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-07-24T18:34:13Z",
    "title_canon_sha256": "fe57416366ea67e18ea743302f530acffbc86acb841e6a924e05a7648f1daabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4355",
    "kind": "arxiv",
    "version": 1
  }
}