Pith Number

pith:YPBZ7HMN

pith:2015:YPBZ7HMNKL2UAWI7TZMXWBGKL2

not attested not anchored not stored refs pending

Fourier Theory on the Complex Plane V: Arbitrary-Parity Real Functions, Singular Generalized Functions and Locally Non-Integrable Functions

Jorge L. deLyra

arxiv:1505.02300 v1 · 2015-05-09 · 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{YPBZ7HMNKL2UAWI7TZMXWBGKL2}

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	2026-05-18T02:16:19.268034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c39f9d8d52f540591f9e597b04ca5e963a6482d9a8091d06920bc666a39f65

Aliases

arxiv: 1505.02300 · arxiv_version: 1505.02300v1 · doi: 10.48550/arxiv.1505.02300 · pith_short_12: YPBZ7HMNKL2U · pith_short_16: YPBZ7HMNKL2UAWI7 · pith_short_8: YPBZ7HMN

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/YPBZ7HMNKL2UAWI7TZMXWBGKL2 \
  | 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: c3c39f9d8d52f540591f9e597b04ca5e963a6482d9a8091d06920bc666a39f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a264ef63befdb539915258e6d4baabaaa93dc192dde61c015c64b6a647fcf62d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-09T18:12:26Z",
    "title_canon_sha256": "6bf8c11812837a0b7f3f3d835d86b62923983821383937f840c3230cfe3872dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02300",
    "kind": "arxiv",
    "version": 1
  }
}