Pith Number

pith:DBKOE7T6

pith:2015:DBKOE7T6BO7YD3W52Z57CYMKK5

not attested not anchored not stored refs pending

Complex-valued fractional derivatives on time scales

Benaoumeur Bayour, Delfim F. M. Torres

arxiv:1511.02153 v1 · 2015-11-06 · 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{DBKOE7T6BO7YD3W52Z57CYMKK5}

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	2026-05-18T01:06:21.133561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1854e27e7e0bbf81eeddd67bf1618a577df61245f66d42e8036cfb76f0ad9bcf

Aliases

arxiv: 1511.02153 · arxiv_version: 1511.02153v1 · doi: 10.48550/arxiv.1511.02153 · pith_short_12: DBKOE7T6BO7Y · pith_short_16: DBKOE7T6BO7YD3W5 · pith_short_8: DBKOE7T6

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/DBKOE7T6BO7YD3W52Z57CYMKK5 \
  | 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: 1854e27e7e0bbf81eeddd67bf1618a577df61245f66d42e8036cfb76f0ad9bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46576e63ad0e6e0cb446238fd251db3f4c5fae4b9196b3055ae68d346b4942d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-06T16:52:56Z",
    "title_canon_sha256": "b2eb19537eeb35055a581d40b1df638ea7a1d6d07099970d85635ea337a7740b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02153",
    "kind": "arxiv",
    "version": 1
  }
}