Pith Number

pith:PL6W5DVH

pith:2020:PL6W5DVH6YXX6SU4S7352R7DWU

not attested not anchored not stored refs pending

Approximation of an optimal control problem for the time-fractional Fokker-Planck equation

Fabio Camilli, Qing Tang, Serikbolsyn Duisembay

arxiv:2006.03518 v1 · 2020-06-05 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PL6W5DVH6YXX6SU4S7352R7DWU}

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	2026-07-05T01:08:19.007059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afd6e8ea7f62f7f4a9c97f7dd47e3b522ddef537eaffdd2eec1938fdb0e251a

Aliases

arxiv: 2006.03518 · arxiv_version: 2006.03518v1 · doi: 10.48550/arxiv.2006.03518 · pith_short_12: PL6W5DVH6YXX · pith_short_16: PL6W5DVH6YXX6SU4 · pith_short_8: PL6W5DVH

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/PL6W5DVH6YXX6SU4S7352R7DWU \
  | 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: 7afd6e8ea7f62f7f4a9c97f7dd47e3b522ddef537eaffdd2eec1938fdb0e251a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4df02203c3e1ebf302905e25c098250f99d738d8b72f840c217197d12348ed6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-06-05T15:49:24Z",
    "title_canon_sha256": "66d5616aa7ef1e2f5d6168c788d426c9a78e0e77a694e595400add145cf79a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.03518",
    "kind": "arxiv",
    "version": 1
  }
}