Pith Number

pith:JFBPWATJ

pith:2015:JFBPWATJSLSSNNYF46SKMBJV62

not attested not anchored not stored refs pending

On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions

Iv\'an Area, Jorge Losada, Juan J. Nieto

arxiv:1507.05567 v1 · 2015-07-20 · 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{JFBPWATJSLSSNNYF46SKMBJV62}

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	2026-05-18T01:36:36.490100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4942fb026992e526b705e7a4a60535f6862706c02aafcb09f24c95f96dba6bc0

Aliases

arxiv: 1507.05567 · arxiv_version: 1507.05567v1 · doi: 10.48550/arxiv.1507.05567 · pith_short_12: JFBPWATJSLSS · pith_short_16: JFBPWATJSLSSNNYF · pith_short_8: JFBPWATJ

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/JFBPWATJSLSSNNYF46SKMBJV62 \
  | 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: 4942fb026992e526b705e7a4a60535f6862706c02aafcb09f24c95f96dba6bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027f6a0aee6ee6419d6d1e7ca1def396094549e5efb12b38774e9f6ccd620c1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-20T17:39:15Z",
    "title_canon_sha256": "db1b228c95c1ea083dbdb62e08fa1f525288d21d9978b93101ad98965967d14e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05567",
    "kind": "arxiv",
    "version": 1
  }
}