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Pith Number

pith:BLVGQTL2

pith:2016:BLVGQTL225L3M2HWIZTMPXTJHV
not attested not anchored not stored refs pending

AP-Cloud: Adaptive Particle-in-Cloud Method for Optimal Solutions to Vlasov-Poisson Equation

Kwangmin Yu, Roman Samulyak, Xiangmin Jiao, Xingyu Wang

arxiv:1603.04039 v1 · 2016-03-13 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BLVGQTL225L3M2HWIZTMPXTJHV}

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 2026-05-18T01:13:54.255735Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0aea684d7ad757b668f64666c7de693d7e97c90d65a6df2cda810bb5fb4a9ec3

Aliases

arxiv: 1603.04039 · arxiv_version: 1603.04039v1 · doi: 10.48550/arxiv.1603.04039 · pith_short_12: BLVGQTL225L3 · pith_short_16: BLVGQTL225L3M2HW · pith_short_8: BLVGQTL2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BLVGQTL225L3M2HWIZTMPXTJHV \
  | 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: 0aea684d7ad757b668f64666c7de693d7e97c90d65a6df2cda810bb5fb4a9ec3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b30a6d27e09de52c6b536febf97ed9f7b6c59ee5b3593eef6b36ec2d4581290f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-13T15:15:08Z",
    "title_canon_sha256": "b16e8cd34fa61462aeb79f53f594864bf5d95cef705d831188ac90afd2b82aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04039",
    "kind": "arxiv",
    "version": 1
  }
}