Pith Number

pith:QI2NEZFF

pith:2014:QI2NEZFFNJNXK67K5AE2KSFXOJ

not attested not anchored not stored refs pending

On fractional derivatives and primitives of periodic functions

I. Area, J.J. Nieto, J. Losada

arxiv:1405.6010 v2 · 2014-05-23 · 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{QI2NEZFFNJNXK67K5AE2KSFXOJ}

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	2026-05-18T02:48:09.171001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8234d264a56a5b757beae809a548b772630619d609e70f28299107b27189f2d7

Aliases

arxiv: 1405.6010 · arxiv_version: 1405.6010v2 · doi: 10.48550/arxiv.1405.6010 · pith_short_12: QI2NEZFFNJNX · pith_short_16: QI2NEZFFNJNXK67K · pith_short_8: QI2NEZFF

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/QI2NEZFFNJNXK67K5AE2KSFXOJ \
  | 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: 8234d264a56a5b757beae809a548b772630619d609e70f28299107b27189f2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06da0f8cf40e01d931be69d5c8a218148a62a182c28090c274cbdbad143a65da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-23T10:10:06Z",
    "title_canon_sha256": "725d594cdc70bfcabb7205dcfa328f2c9254b2fe9995dc829b50c750f6201b90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6010",
    "kind": "arxiv",
    "version": 2
  }
}