Pith Number

pith:FRECKTRY

pith:2012:FRECKTRYE5ESXRNYMYXSMUJIXL

not attested not anchored not stored refs pending

Sparse spectral approximations for computing polynomial functionals

Christophe Vuillot, Erwan Faou, Fabio Nobile

arxiv:1207.3728 v1 · 2012-07-16 · 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{FRECKTRYE5ESXRNYMYXSMUJIXL}

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	2026-05-18T03:50:59.701922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c48254e3827492bc5b8662f265128baf1e82e0d8ae068a02b380cce635e0eb4

Aliases

arxiv: 1207.3728 · arxiv_version: 1207.3728v1 · doi: 10.48550/arxiv.1207.3728 · pith_short_12: FRECKTRYE5ES · pith_short_16: FRECKTRYE5ESXRNY · pith_short_8: FRECKTRY

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/FRECKTRYE5ESXRNYMYXSMUJIXL \
  | 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: 2c48254e3827492bc5b8662f265128baf1e82e0d8ae068a02b380cce635e0eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08acb1f3e4cfd9b356e05f95943e696f41bbc6a979e90d3b9303bbc5c490915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-07-16T17:03:15Z",
    "title_canon_sha256": "3a44f21d27742ced1f51e7980483f0147ddfaa26e6f715b60831f4fa6c85a639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3728",
    "kind": "arxiv",
    "version": 1
  }
}