Pith Number

pith:K7HT6OM3

pith:2016:K7HT6OM37A4KF7CN275G2KK6NO

not attested not anchored not stored refs pending

Derivative with two fractional orders: New door of investigation toward revolution in fractional calculus

Abdon Atangana

arxiv:1604.05184 v1 · 2016-04-13 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7HT6OM37A4KF7CN275G2KK6NO}

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	2026-05-18T01:16:55.385330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57cf3f399bf838a2fc4dd7fa6d295e6ba4f94a2dece56b4cf8222279e445b7d7

Aliases

arxiv: 1604.05184 · arxiv_version: 1604.05184v1 · doi: 10.48550/arxiv.1604.05184 · pith_short_12: K7HT6OM37A4K · pith_short_16: K7HT6OM37A4KF7CN · pith_short_8: K7HT6OM3

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/K7HT6OM37A4KF7CN275G2KK6NO \
  | 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: 57cf3f399bf838a2fc4dd7fa6d295e6ba4f94a2dece56b4cf8222279e445b7d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08fa1c898952563fbeb181e0e425a3e29f7123b0208bc883413bc573dc268431",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-13T11:02:35Z",
    "title_canon_sha256": "17efd953ab1c3d14ab96160ceb515361ffd9d8d82b7d82da5b0082de2716047c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05184",
    "kind": "arxiv",
    "version": 1
  }
}