Pith Number

pith:AQ3FAWMH

pith:2018:AQ3FAWMHGCAXWVKF5R4T6NI3SS

not attested not anchored not stored refs pending

Optimal control of a Vlasov-Poisson plasma by an external magnetic field

Patrik Knopf

arxiv:1808.00547 v2 · 2018-07-30 · math.AP · math-ph · math.MP · 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{AQ3FAWMHGCAXWVKF5R4T6NI3SS}

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	2026-07-05T03:21:03.443037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043650598730817b5545ec793f351b94a293dfdbe98bba3966e7c901b58f5986

Aliases

arxiv: 1808.00547 · arxiv_version: 1808.00547v2 · doi: 10.48550/arxiv.1808.00547 · pith_short_12: AQ3FAWMHGCAX · pith_short_16: AQ3FAWMHGCAXWVKF · pith_short_8: AQ3FAWMH

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/AQ3FAWMHGCAXWVKF5R4T6NI3SS \
  | 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: 043650598730817b5545ec793f351b94a293dfdbe98bba3966e7c901b58f5986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd0b0b96ab59ef46294617b0a33b634d0f5d5022f437efc837ff4bd51c59f129",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-30T18:40:52Z",
    "title_canon_sha256": "cd2c978d8c2a9ffe9a7acb3024f00cbdc7da23020aa29c2efcefb4f15c2d2110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00547",
    "kind": "arxiv",
    "version": 2
  }
}