Pith Number

pith:ZN4EP34S

pith:2023:ZN4EP34SJFTLVUCSVN7LTQGK2P

not attested not anchored not stored refs pending

Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)

Misha Stepanov

arxiv:2301.09335 v4 · 2023-01-23 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN4EP34SJFTLVUCSVN7LTQGK2P}

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.

Cited by

1 paper in Pith

On the Symplectic Propagation of the Spin-MInt Algorithm for Non-Adiabatic Quantum Dynamics

Receipt and verification

First computed	2026-07-05T10:14:34.904512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7847ef924966bad052ab7eb9c0cad3c827285a7202f769ede10a2137f85e48

Aliases

arxiv: 2301.09335 · arxiv_version: 2301.09335v4 · doi: 10.48550/arxiv.2301.09335 · pith_short_12: ZN4EP34SJFTL · pith_short_16: ZN4EP34SJFTLVUCS · pith_short_8: ZN4EP34S

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/ZN4EP34SJFTLVUCSVN7LTQGK2P \
  | 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: cb7847ef924966bad052ab7eb9c0cad3c827285a7202f769ede10a2137f85e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c179ffce54af23944a678de2490ef8246603350fbab1652440bdf1a930f20b5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-01-23T09:36:03Z",
    "title_canon_sha256": "3975a527a18c81c292db0b715bad5bd254d66e6ef9267d1cd8b2a3beefb6d755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.09335",
    "kind": "arxiv",
    "version": 4
  }
}