Pith Number

pith:RWW7UBHU

pith:2015:RWW7UBHUHQ2YK6S36ZZKUX6YSN

not attested not anchored not stored refs pending

Fourier Theory on the Complex Plane IV: Representability of Real Functions by their Fourier Coefficients

Jorge L. deLyra

arxiv:1502.01617 v3 · 2015-02-05 · math.CV · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWW7UBHUHQ2YK6S36ZZKUX6YSN}

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	2026-05-18T02:17:00.540975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dadfa04f43c35857a5bf672aa5fd8937f1af69489c3576689d112b6194dc799

Aliases

arxiv: 1502.01617 · arxiv_version: 1502.01617v3 · doi: 10.48550/arxiv.1502.01617 · pith_short_12: RWW7UBHUHQ2Y · pith_short_16: RWW7UBHUHQ2YK6S3 · pith_short_8: RWW7UBHU

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/RWW7UBHUHQ2YK6S36ZZKUX6YSN \
  | 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: 8dadfa04f43c35857a5bf672aa5fd8937f1af69489c3576689d112b6194dc799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a69f7ebba9ff5b27519b1c407a0df5d60b8cd08412fb2cf76412334e0e3eeb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-05T16:09:49Z",
    "title_canon_sha256": "d803ea8d5d747f6b2b83e542b89155a4ccc0e2e4cf5f4b3fe0be2d7add3a795e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01617",
    "kind": "arxiv",
    "version": 3
  }
}