pith. sign in
Pith Number

pith:DSVRKSDH

pith:2016:DSVRKSDH3KYQ5TM7B75D2BURVS
not attested not anchored not stored refs pending

New numerical scheme of Atangana-Baleanu fractional integral: an application to groundwater flow within leaky aquifer

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

arxiv:1610.08681 v1 · 2016-10-27 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DSVRKSDH3KYQ5TM7B75D2BURVS}

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 2026-05-18T01:01:07.520886Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1cab154867dab10ecd9f0ffa3d0691acbb9bb4b1f66315db8d1d64332d11c318

Aliases

arxiv: 1610.08681 · arxiv_version: 1610.08681v1 · doi: 10.48550/arxiv.1610.08681 · pith_short_12: DSVRKSDH3KYQ · pith_short_16: DSVRKSDH3KYQ5TM7 · pith_short_8: DSVRKSDH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DSVRKSDH3KYQ5TM7B75D2BURVS \
  | 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: 1cab154867dab10ecd9f0ffa3d0691acbb9bb4b1f66315db8d1d64332d11c318
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fee962248c484cc2e272afa2586352e8a7a447c9e6045d816ec9d2a0f2e43a48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-27T09:49:03Z",
    "title_canon_sha256": "8bd3c1285ae431aed66e3aa27f89446ffdb17b22f20b713677cdda56742c00e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08681",
    "kind": "arxiv",
    "version": 1
  }
}