pith. sign in
Pith Number

pith:DHIY2U6D

pith:2017:DHIY2U6DYGYAHX4EX4A5ZQT3Y6
not attested not anchored not stored refs pending

Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel

A. Atangana, I. Area, J.D Djida

arxiv:1701.01479 v1 · 2017-01-05 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DHIY2U6DYGYAHX4EX4A5ZQT3Y6}

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 2026-05-18T00:53:16.730380Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

19d18d53c3c1b003df84bf01dcc27bc7a1a652a7238c88a4c8212eb7f0177b45

Aliases

arxiv: 1701.01479 · arxiv_version: 1701.01479v1 · doi: 10.48550/arxiv.1701.01479 · pith_short_12: DHIY2U6DYGYA · pith_short_16: DHIY2U6DYGYAHX4E · pith_short_8: DHIY2U6D
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DHIY2U6DYGYAHX4EX4A5ZQT3Y6 \
  | 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: 19d18d53c3c1b003df84bf01dcc27bc7a1a652a7238c88a4c8212eb7f0177b45
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "24c22343c08f06c720209d7fe1644c11b446118bb4bb241005a1590bc779b848",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-01-05T21:16:42Z",
    "title_canon_sha256": "c5662203792f0f90c3cac8ddb9bf6857b2f3e660edfd4edecbfeb2546ca5ebb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01479",
    "kind": "arxiv",
    "version": 1
  }
}