Pith Number

pith:HHVPRAT7

pith:2019:HHVPRAT7C3R5YNPR3ZETB47UXA

not attested not anchored not stored refs pending

On a new class of fractional difference-sum operators based on discrete Atangana-Baleanu sums

Arran Fernandez, Thabet Abdeljawad

arxiv:1901.08268 v1 · 2019-01-24 · 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{HHVPRAT7C3R5YNPR3ZETB47UXA}

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	2026-05-17T23:55:37.501642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39eaf8827f16e3dc35f1de4930f3f4b80e0ccebd97541f03eb13380a6d573019

Aliases

arxiv: 1901.08268 · arxiv_version: 1901.08268v1 · doi: 10.48550/arxiv.1901.08268 · pith_short_12: HHVPRAT7C3R5 · pith_short_16: HHVPRAT7C3R5YNPR · pith_short_8: HHVPRAT7

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/HHVPRAT7C3R5YNPR3ZETB47UXA \
  | 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: 39eaf8827f16e3dc35f1de4930f3f4b80e0ccebd97541f03eb13380a6d573019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1efb08941ba11259138bfd28dce16d352c2fb57e16a0d446abd111ab03604c5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-24T08:06:55Z",
    "title_canon_sha256": "5eeda73b4c2424d1d88398571b001d2fb72b549c43d4b92413dc75d6f43a9b5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08268",
    "kind": "arxiv",
    "version": 1
  }
}