Pith Number

pith:7WOLORVE

pith:2015:7WOLORVESBUGHV3H3DKTFXYREJ

not attested not anchored not stored refs pending

On the Invalidity of Fourier Series Expansions of Fractional Order

Ahmed I. Zayed, Peter Massopust

arxiv:1507.07798 v1 · 2015-07-25 · 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{7WOLORVESBUGHV3H3DKTFXYREJ}

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	2026-05-18T01:36:11.870305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd9cb746a4906863d767d8d532df112264e5f9cf53791b9a2cd2c09c50593735

Aliases

arxiv: 1507.07798 · arxiv_version: 1507.07798v1 · doi: 10.48550/arxiv.1507.07798 · pith_short_12: 7WOLORVESBUG · pith_short_16: 7WOLORVESBUGHV3H · pith_short_8: 7WOLORVE

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/7WOLORVESBUGHV3H3DKTFXYREJ \
  | 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: fd9cb746a4906863d767d8d532df112264e5f9cf53791b9a2cd2c09c50593735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2aded6691a02c34dc4672eb2f01367139b5c14991cb3a506ba0e91a192ca3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-25T14:06:47Z",
    "title_canon_sha256": "52b24bd3ea877c9aab6dbf83a3b1fbdcfd4eec4e8fdf146ac34899f05298b22c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07798",
    "kind": "arxiv",
    "version": 1
  }
}