Pith Number

pith:XHKXLMBI

pith:2017:XHKXLMBIXAS45NTKIPVYDKR74C

not attested not anchored not stored refs pending

Complex Analysis of Real Functions III: Extended Fourier Theory

Jorge L. deLyra

arxiv:1708.07386 v3 · 2017-08-24 · 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{XHKXLMBIXAS45NTKIPVYDKR74C}

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	2026-05-17T23:53:52.156312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d575b028b825ceb66a43eb81aa3fe09afb114dff1af3b17b15ca48e48480c8

Aliases

arxiv: 1708.07386 · arxiv_version: 1708.07386v3 · doi: 10.48550/arxiv.1708.07386 · pith_short_12: XHKXLMBIXAS4 · pith_short_16: XHKXLMBIXAS45NTK · pith_short_8: XHKXLMBI

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/XHKXLMBIXAS45NTKIPVYDKR74C \
  | 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: b9d575b028b825ceb66a43eb81aa3fe09afb114dff1af3b17b15ca48e48480c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a575db9b0e0c700243dade2cec1436f26762e502cdb6c95ad266e00473f8415f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-24T13:11:15Z",
    "title_canon_sha256": "eaab85f3060d3f96fc4fdd00dd975f49f7ac615461ffebaeaeead3ff14e0cb62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07386",
    "kind": "arxiv",
    "version": 3
  }
}