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Pith Number

pith:7GKJFSBE

pith:2016:7GKJFSBEQRN7JAFBVA2JIFAIDV
not attested not anchored not stored refs pending

Some new applications for heat and fluid flows via fractional derivatives without singular kernel

H. M. Srivastava, Xiao-Jun Yang, Zhi-Zhen Zhang

arxiv:1601.06144 v2 · 2016-01-21 · math.AP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7GKJFSBEQRN7JAFBVA2JIFAIDV}

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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 2026-05-18T00:40:14.044116Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f99492c824845bf480a1a8349414081d671f8fedaaf5695812213aa428969e6d

Aliases

arxiv: 1601.06144 · arxiv_version: 1601.06144v2 · doi: 10.48550/arxiv.1601.06144 · pith_short_12: 7GKJFSBEQRN7 · pith_short_16: 7GKJFSBEQRN7JAFB · pith_short_8: 7GKJFSBE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7GKJFSBEQRN7JAFBVA2JIFAIDV \
  | 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: f99492c824845bf480a1a8349414081d671f8fedaaf5695812213aa428969e6d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c8537024b64f485bf3b0cf836195c219c4426e9ca7b36f022e9e00e41bbbf69c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-21T14:49:28Z",
    "title_canon_sha256": "0146e5b13422aa050fcd42519a24bf21dab9142381de9b2601fa9e4ec1c5c335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06144",
    "kind": "arxiv",
    "version": 2
  }
}