Pith Number

pith:VVKAPYQV

pith:2018:VVKAPYQVIQXWVSFO2LDCLYRBFR

not attested not anchored not stored refs pending

A low-rank projector-splitting integrator for the Vlasov--Poisson equation

Christian Lubich, Lukas Einkemmer

arxiv:1801.01103 v2 · 2018-01-03 · math.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVKAPYQVIQXWVSFO2LDCLYRBFR}

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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.

Cited by

1 paper in Pith

A low-rank method for time-dependent transport calculations

Receipt and verification

First computed	2026-05-18T00:13:45.163896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5407e215442f6ac8aed2c625e2212c7770c798066cf4e53940fe946f31ab12

Aliases

arxiv: 1801.01103 · arxiv_version: 1801.01103v2 · doi: 10.48550/arxiv.1801.01103 · pith_short_12: VVKAPYQVIQXW · pith_short_16: VVKAPYQVIQXWVSFO · pith_short_8: VVKAPYQV

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/VVKAPYQVIQXWVSFO2LDCLYRBFR \
  | 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: ad5407e215442f6ac8aed2c625e2212c7770c798066cf4e53940fe946f31ab12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4398aa9c5fded29fc6c9b623ddfe6e3493421298911753ba3557f544eff1791",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-01-03T18:25:15Z",
    "title_canon_sha256": "119c7c4ebe207c7bf66d5e82bd965d785d80c475e017c2b5a51f6325c4cea2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01103",
    "kind": "arxiv",
    "version": 2
  }
}