Pith Number

pith:4SHNJYPJ

pith:2019:4SHNJYPJ4LHWATBFRCWDE5MQQN

not attested not anchored not stored refs pending

A Generalization of Fourier Series occurring in Atomic Theory

Bernard J. Laurenzi

arxiv:1907.00265 v1 · 2019-06-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SHNJYPJ4LHWATBFRCWDE5MQQN}

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	2026-05-17T23:41:52.293270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48ed4e1e9e2cf604c2588ac327590835d5c7524f61ced83ed9923293e8458e3

Aliases

arxiv: 1907.00265 · arxiv_version: 1907.00265v1 · doi: 10.48550/arxiv.1907.00265 · pith_short_12: 4SHNJYPJ4LHW · pith_short_16: 4SHNJYPJ4LHWATBF · pith_short_8: 4SHNJYPJ

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/4SHNJYPJ4LHWATBFRCWDE5MQQN \
  | 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: e48ed4e1e9e2cf604c2588ac327590835d5c7524f61ced83ed9923293e8458e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5ba9965bd754b877015f1fe2d025547b5428d0bd3449e8e1b3aefbea2936fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-29T19:31:05Z",
    "title_canon_sha256": "367e2e4c1b225f728d102034f57069ae1cb0ea0c9324fe608c8b81d6c21898dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00265",
    "kind": "arxiv",
    "version": 1
  }
}