Pith Number

pith:GQAPFLJX

pith:2011:GQAPFLJXCR5XMYXYE3FSPRH3FA

not attested not anchored not stored refs pending

Sur une g\'en\'eralisation de l'op\'erateur fractionnaire

Andrzeij Nowakowski (University of Sheffield), G\'erard Maugin (IJLRA), Nicolleau Franck, Shahram Derogar, Thomas Michelitsch (IJLRA)

arxiv:1111.1898 v1 · 2011-11-08 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQAPFLJXCR5XMYXYE3FSPRH3FA}

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	2026-05-18T04:09:24.485595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3400f2ad37147b7662f826cb27c4fb2813610977bc0ed3f7710ca4212de7f8cb

Aliases

arxiv: 1111.1898 · arxiv_version: 1111.1898v1 · doi: 10.48550/arxiv.1111.1898 · pith_short_12: GQAPFLJXCR5X · pith_short_16: GQAPFLJXCR5XMYXY · pith_short_8: GQAPFLJX

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/GQAPFLJXCR5XMYXYE3FSPRH3FA \
  | 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: 3400f2ad37147b7662f826cb27c4fb2813610977bc0ed3f7710ca4212de7f8cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15caab68f628b41c0145abffb6320769673df82956dddf94b7dd4f5ea96bf8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2011-11-08T13:12:03Z",
    "title_canon_sha256": "026e18439298d6090a1f1e78e181e896d28805f74be80b321da3be105e1bfeeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1898",
    "kind": "arxiv",
    "version": 1
  }
}