Pith Number

pith:JEV6HAQG

pith:2016:JEV6HAQGPBELV7DF2SUJVB3IZB

not attested not anchored not stored refs pending

Variational Problems Involving a Caputo-Type Fractional Derivative

Ricardo Almeida

arxiv:1601.07376 v2 · 2016-01-24 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEV6HAQGPBELV7DF2SUJVB3IZB}

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	2026-05-18T01:20:08.146949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492be382067848bafc65d4a89a8768c855bb0a4a546c64f5c90dc949a12ffe58

Aliases

arxiv: 1601.07376 · arxiv_version: 1601.07376v2 · doi: 10.48550/arxiv.1601.07376 · pith_short_12: JEV6HAQGPBEL · pith_short_16: JEV6HAQGPBELV7DF · pith_short_8: JEV6HAQG

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/JEV6HAQGPBELV7DF2SUJVB3IZB \
  | 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: 492be382067848bafc65d4a89a8768c855bb0a4a546c64f5c90dc949a12ffe58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e56ef38ff6af9f486cd4708d7652f94f7832b4d0563695d82856e5195bb50a",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-24T15:14:29Z",
    "title_canon_sha256": "dd0c83207b4a139441298a99d3fcb8da97ee232ab7bfd477e7ac1a34492f6867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07376",
    "kind": "arxiv",
    "version": 2
  }
}