Pith Number

pith:GQZQY2DX

pith:2023:GQZQY2DXRBC5ONPWEPPB5NR3SA

not attested not anchored not stored refs pending

Runge--Kutta methods determined from extended phase space methods for Hamiltonian systems

Robert I McLachlan

arxiv:2308.06516 v1 · 2023-08-12 · math.NA · cs.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{GQZQY2DXRBC5ONPWEPPB5NR3SA}

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	2026-07-05T06:40:41.404430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34330c68778845d735f623de1eb63b900bc4e7f20681abbb84564a8842264af7

Aliases

arxiv: 2308.06516 · arxiv_version: 2308.06516v1 · doi: 10.48550/arxiv.2308.06516 · pith_short_12: GQZQY2DXRBC5 · pith_short_16: GQZQY2DXRBC5ONPW · pith_short_8: GQZQY2DX

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/GQZQY2DXRBC5ONPWEPPB5NR3SA \
  | 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: 34330c68778845d735f623de1eb63b900bc4e7f20681abbb84564a8842264af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8771ef7904e4bdb57569054aab10072e2d758fa1ba33e5f6c8c405110c5892e8",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-08-12T09:45:11Z",
    "title_canon_sha256": "c6cada310f52048619cad7c560875d0b0557c3b492604120df9af8e8182d095c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.06516",
    "kind": "arxiv",
    "version": 1
  }
}