Pith Number

pith:HCR5XXFI

pith:2015:HCR5XXFINBZLLXDEKZCRWA4ZI4

not attested not anchored not stored refs pending

Construction of symplectic (partitioned) Runge-Kutta methods with continuous stage

Guangming Lang, Wensheng Tang, Xuqiong Luo

arxiv:1504.04791 v2 · 2015-04-19 · math.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{HCR5XXFINBZLLXDEKZCRWA4ZI4}

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	2026-05-18T01:30:08.032369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38a3dbdca86872b5dc6456451b0399470fa6a7efd75559e8def9ba15d89e7fea

Aliases

arxiv: 1504.04791 · arxiv_version: 1504.04791v2 · doi: 10.48550/arxiv.1504.04791 · pith_short_12: HCR5XXFINBZL · pith_short_16: HCR5XXFINBZLLXDE · pith_short_8: HCR5XXFI

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/HCR5XXFINBZLLXDEKZCRWA4ZI4 \
  | 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: 38a3dbdca86872b5dc6456451b0399470fa6a7efd75559e8def9ba15d89e7fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db56191774d988136727f0eab948d483e34c8d940ac4b8eb288ecbf7cae2369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-04-19T04:42:33Z",
    "title_canon_sha256": "b863ec6c203634780c53b741ee4e7ae511325cec713d41d25acbf5b506a5203d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04791",
    "kind": "arxiv",
    "version": 2
  }
}