Pith Number

pith:4MNU6H2G

pith:2014:4MNU6H2GYD7DXWGXIOVBZGOREF

not attested not anchored not stored refs pending

Fourier Theory on the Complex Plane I: Conjugate Pairs of Fourier Series and Inner Analytic Functions

Jorge L. deLyra

arxiv:1409.2582 v4 · 2014-09-01 · 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{4MNU6H2GYD7DXWGXIOVBZGOREF}

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	2026-05-18T02:20:36.584940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31b4f1f46c0fe3bd8d743aa1c99d121523384843335b2e0e3b76565aec62511

Aliases

arxiv: 1409.2582 · arxiv_version: 1409.2582v4 · doi: 10.48550/arxiv.1409.2582 · pith_short_12: 4MNU6H2GYD7D · pith_short_16: 4MNU6H2GYD7DXWGX · pith_short_8: 4MNU6H2G

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/4MNU6H2GYD7DXWGXIOVBZGOREF \
  | 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: e31b4f1f46c0fe3bd8d743aa1c99d121523384843335b2e0e3b76565aec62511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f26c4faf902f4916f694cb28cfe81ac71ed23f79ef8df0fec44effd832ee6a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-09-01T16:33:23Z",
    "title_canon_sha256": "2eab980da0638c024051fbc1ab3a45b09c0280cc9999a13a7f8079fcc41db1eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2582",
    "kind": "arxiv",
    "version": 4
  }
}