Pith Number

pith:VPK4ZBSX

pith:2025:VPK4ZBSXZSUUFA6A4FGZRMTTCT

not attested not anchored not stored refs pending

On the coordinate system-dependence of the accuracy of symplectic numerical methods

Don\'at M. Tak\'acs, Tam\'as F\"ul\"op

arxiv:2506.21241 v1 · 2025-06-26 · math.NA · cs.NA · physics.class-ph · 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{VPK4ZBSXZSUUFA6A4FGZRMTTCT}

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	2026-07-05T11:27:42.130873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd5cc8657cca94283c0e14d98b27314e7abd33970cc6988dce4451a672c0dbc

Aliases

arxiv: 2506.21241 · arxiv_version: 2506.21241v1 · doi: 10.48550/arxiv.2506.21241 · pith_short_12: VPK4ZBSXZSUU · pith_short_16: VPK4ZBSXZSUUFA6A · pith_short_8: VPK4ZBSX

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/VPK4ZBSXZSUUFA6A4FGZRMTTCT \
  | 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: abd5cc8657cca94283c0e14d98b27314e7abd33970cc6988dce4451a672c0dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "800f50cf39efbef7d2424c0f93c31dabb7aaacc376c41446d46a2a68a479f885",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.class-ph",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-26T13:24:54Z",
    "title_canon_sha256": "456d9740bf43016b22d1692bd072ab1c33154e4d1c599ae3400117d326d5245d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21241",
    "kind": "arxiv",
    "version": 1
  }
}