Pith Number

pith:GEW7PJ2L

pith:2015:GEW7PJ2LAS5VCWH3AWORAMFTWJ

not attested not anchored not stored refs pending

Caputo derivatives of fractional variable order: numerical approximations

Delfim F. M. Torres, Dina Tavares, Ricardo Almeida

arxiv:1511.02017 v1 · 2015-11-06 · math.CA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEW7PJ2LAS5VCWH3AWORAMFTWJ}

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	2026-05-18T01:25:11.142988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312df7a74b04bb5158fb059d1030b3b25457a5780f41d001582501e1637d5dc1

Aliases

arxiv: 1511.02017 · arxiv_version: 1511.02017v1 · doi: 10.48550/arxiv.1511.02017 · pith_short_12: GEW7PJ2LAS5V · pith_short_16: GEW7PJ2LAS5VCWH3 · pith_short_8: GEW7PJ2L

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/GEW7PJ2LAS5VCWH3AWORAMFTWJ \
  | 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: 312df7a74b04bb5158fb059d1030b3b25457a5780f41d001582501e1637d5dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd6785509b3477f5233c688a926ad674534877ac6fbe0e2cedcb7aa98e06fa1",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-06T09:55:54Z",
    "title_canon_sha256": "114f334465bdf11323ce2016dd7265e2658ab78822c395ad52bb1dd9733a26ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02017",
    "kind": "arxiv",
    "version": 1
  }
}