Pith Number

pith:NI3DA6EK

pith:2017:NI3DA6EKJQYUZC33QDMCNYRHM6

not attested not anchored not stored refs pending

Optimal control of diffusion equation with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel

G.M.Mophou, I. Area, J.D. Djida

arxiv:1711.09070 v1 · 2017-11-24 · 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{NI3DA6EKJQYUZC33QDMCNYRHM6}

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	2026-05-18T00:29:41.281734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3630788a4c314c8b7b80d826e227679a2a287071d4f4fb57e3116803ab6fc1

Aliases

arxiv: 1711.09070 · arxiv_version: 1711.09070v1 · doi: 10.48550/arxiv.1711.09070 · pith_short_12: NI3DA6EKJQYU · pith_short_16: NI3DA6EKJQYUZC33 · pith_short_8: NI3DA6EK

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/NI3DA6EKJQYUZC33QDMCNYRHM6 \
  | 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: 6a3630788a4c314c8b7b80d826e227679a2a287071d4f4fb57e3116803ab6fc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1543fb5ec5cba9fd6173447011cbe9201d177143364c95d5d32cc1334215abf4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-24T18:34:51Z",
    "title_canon_sha256": "257c88de3dc0b5798e88e0b915bb1f0cf5996a902d4d5a2529b9f3d56193cc85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09070",
    "kind": "arxiv",
    "version": 1
  }
}