Pith Number

pith:MMIAUE6U

pith:2016:MMIAUE6UJFBBJJPM45F3KGWQ6L

not attested not anchored not stored refs pending

A Caputo fractional derivative of a function with respect to another function

Ricardo Almeida

arxiv:1609.04775 v1 · 2016-09-12 · 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{MMIAUE6UJFBBJJPM45F3KGWQ6L}

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	2026-05-18T01:02:36.633123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63100a13d4494214a5ece74bb51ad0f2d2e13e180ca0cce5860b6a490617eb65

Aliases

arxiv: 1609.04775 · arxiv_version: 1609.04775v1 · doi: 10.48550/arxiv.1609.04775 · pith_short_12: MMIAUE6UJFBB · pith_short_16: MMIAUE6UJFBBJJPM · pith_short_8: MMIAUE6U

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/MMIAUE6UJFBBJJPM45F3KGWQ6L \
  | 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: 63100a13d4494214a5ece74bb51ad0f2d2e13e180ca0cce5860b6a490617eb65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c04fa56c645a5dc3583c8ad9133af1ef62eb265057662e9d3ce2fefe4b69477",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-12T15:52:40Z",
    "title_canon_sha256": "26ed6ca2797a4c820dff8ed1adb28546308f351dd6413be04a3d7f1ce4d5561c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04775",
    "kind": "arxiv",
    "version": 1
  }
}