Pith Number

pith:Y43LFXKJ

pith:2013:Y43LFXKJUKB6XMXGVVLEF4XECF

not attested not anchored not stored refs pending

Force-Gradient Nested Multirate Methods for Hamiltonian System

Dmitry Shcherbakov, Matthias Ehrhardt, Michael G\"unther, Michael Peardon

arxiv:1312.3113 v1 · 2013-12-11 · math.NA · math-ph · math.MP · quant-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{Y43LFXKJUKB6XMXGVVLEF4XECF}

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	2026-05-18T03:05:00.444597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c736b2dd49a283ebb2e6ad5642f2e4117cf75184a42e91789751ed181eb2efba

Aliases

arxiv: 1312.3113 · arxiv_version: 1312.3113v1 · doi: 10.48550/arxiv.1312.3113 · pith_short_12: Y43LFXKJUKB6 · pith_short_16: Y43LFXKJUKB6XMXG · pith_short_8: Y43LFXKJ

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/Y43LFXKJUKB6XMXGVVLEF4XECF \
  | 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: c736b2dd49a283ebb2e6ad5642f2e4117cf75184a42e91789751ed181eb2efba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a66db54afa7fd3faf4cde65b3b5bc12d1091967b4c112849eb71288bff59fea",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-11T11:08:03Z",
    "title_canon_sha256": "0f64d6a651900f8635dc219c20a36dcd27fe1fdb96632f30b18af2cb5888f9e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3113",
    "kind": "arxiv",
    "version": 1
  }
}