Pith Number

pith:VOLTQMK5

pith:2018:VOLTQMK5WWGSKYRHW3BXYBVMSR

not attested not anchored not stored refs pending

Propagators for the time-dependent Kohn-Sham equations: multistep, Runge-Kutta, exponential Runge-Kutta, and commutator free Magnus methods

Adri\'an G\'omez Pueyo, Alberto Castro, Angel Rubio, Miguel A. L. Marques

arxiv:1803.02113 v1 · 2018-03-06 · physics.comp-ph · physics.chem-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{VOLTQMK5WWGSKYRHW3BXYBVMSR}

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	2026-05-18T00:21:55.746880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9738315db58d256227b6c37c06ac946d63b7502ab336adcfbe76f394de48d4

Aliases

arxiv: 1803.02113 · arxiv_version: 1803.02113v1 · doi: 10.48550/arxiv.1803.02113 · pith_short_12: VOLTQMK5WWGS · pith_short_16: VOLTQMK5WWGSKYRH · pith_short_8: VOLTQMK5

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/VOLTQMK5WWGSKYRHW3BXYBVMSR \
  | 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: ab9738315db58d256227b6c37c06ac946d63b7502ab336adcfbe76f394de48d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887dc9b3795334cc70cca3b418c32b78e353161ec27e3692cc0a1d3bf90ec477",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2018-03-06T11:14:31Z",
    "title_canon_sha256": "44ffedf00a3c2576ed85a40e9a52a273f66179579d624a0de94849c7549651d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02113",
    "kind": "arxiv",
    "version": 1
  }
}