Pith Number

pith:XWCDIEMI

pith:2025:XWCDIEMILY3HPKPEYQPOTKBXQB

not attested not anchored not stored refs pending

An adaptive symplectic integrator for gravitational dynamics

Keqi Ye, Kun Yang, Mingji Wang, XiaoDong Liu, Zizhe Cai

arxiv:2507.14881 v1 · 2025-07-20 · math.NA · astro-ph.GA · 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{XWCDIEMILY3HPKPEYQPOTKBXQB}

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	2026-07-05T11:40:15.057698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd843411885e3677a9e4c41ee9a83780646b1f171540cc92dff2d3446eb1a877

Aliases

arxiv: 2507.14881 · arxiv_version: 2507.14881v1 · doi: 10.48550/arxiv.2507.14881 · pith_short_12: XWCDIEMILY3H · pith_short_16: XWCDIEMILY3HPKPE · pith_short_8: XWCDIEMI

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/XWCDIEMILY3HPKPEYQPOTKBXQB \
  | 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: bd843411885e3677a9e4c41ee9a83780646b1f171540cc92dff2d3446eb1a877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc5902964e8a86efe31f601d41b16e05be31d5e0cab0aa06f2270525c8ede9c4",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-20T09:49:41Z",
    "title_canon_sha256": "cb6c782a7386f89c83662b08b09fb9fe6328de7c36bd0c447c76a512df73d643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14881",
    "kind": "arxiv",
    "version": 1
  }
}