Pith Number

pith:ERW33YHN

pith:2016:ERW33YHNQVDXRIUEYVVEIEMDYO

not attested not anchored not stored refs pending

Caputo-Hadamard fractional derivatives of variable order

Ricardo Almeida

arxiv:1607.07591 v1 · 2016-07-26 · 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{ERW33YHNQVDXRIUEYVVEIEMDYO}

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	2026-05-18T01:10:28.211634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

246dbde0ed854778a284c56a441183c395006c918a680a90661e1c129ba84620

Aliases

arxiv: 1607.07591 · arxiv_version: 1607.07591v1 · doi: 10.48550/arxiv.1607.07591 · pith_short_12: ERW33YHNQVDX · pith_short_16: ERW33YHNQVDXRIUE · pith_short_8: ERW33YHN

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/ERW33YHNQVDXRIUEYVVEIEMDYO \
  | 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: 246dbde0ed854778a284c56a441183c395006c918a680a90661e1c129ba84620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fe23a73e6ada8143afdc83b3f4890387ea7901c7892b222e3bb9c6bcfa315d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-26T08:38:57Z",
    "title_canon_sha256": "e29e073fbea7c06aa554cdbf6c282dea5df7622ce9f4c06efa79c8b4798a8fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07591",
    "kind": "arxiv",
    "version": 1
  }
}