Pith Number

pith:33A47NTJ

pith:2022:33A47NTJNJOWXSRECGD3GZX63O

not attested not anchored not stored refs pending

Optimal control problems governed by time-fractional diffusion equations with control constraint

Bui Ngoc Muoi, Bui Trong Kien, Ching-Feng Wen, Jen-Chih Yao

arxiv:2210.16818 v2 · 2022-10-30 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33A47NTJNJOWXSRECGD3GZX63O}

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	2026-07-05T05:18:50.497755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec1cfb6696a5d6bca241187b366fedb80ee27479a4549ec7b6710c9b0df54d9

Aliases

arxiv: 2210.16818 · arxiv_version: 2210.16818v2 · doi: 10.48550/arxiv.2210.16818 · pith_short_12: 33A47NTJNJOW · pith_short_16: 33A47NTJNJOWXSRE · pith_short_8: 33A47NTJ

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/33A47NTJNJOWXSRECGD3GZX63O \
  | 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: dec1cfb6696a5d6bca241187b366fedb80ee27479a4549ec7b6710c9b0df54d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1980804f10654b63023814b67dbe405436983c30c2ef92b79387d6910cbb0004",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-30T11:34:31Z",
    "title_canon_sha256": "562d95a53d5e6187bd03f55009340d6abc91004abb95ff3af5f0c36ab760a4e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16818",
    "kind": "arxiv",
    "version": 2
  }
}