Pith Number

pith:BWVMB7YM

pith:2018:BWVMB7YMN2JHFRC6WDOTLQRSTR

not attested not anchored not stored refs pending

Exponential Stability Estimate of Symplectic Integrators for Integrable Hamiltonian Systems

Bo Xie, Zaijiu Shang, Zhaodong Ding

arxiv:1805.03355 v1 · 2018-05-09 · math.DS · 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{BWVMB7YMN2JHFRC6WDOTLQRSTR}

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	2026-05-18T00:16:20.404732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0daac0ff0c6e9272c45eb0dd35c2329c66e62d2c684f253d59c229df6e43b896

Aliases

arxiv: 1805.03355 · arxiv_version: 1805.03355v1 · doi: 10.48550/arxiv.1805.03355 · pith_short_12: BWVMB7YMN2JH · pith_short_16: BWVMB7YMN2JHFRC6 · pith_short_8: BWVMB7YM

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/BWVMB7YMN2JHFRC6WDOTLQRSTR \
  | 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: 0daac0ff0c6e9272c45eb0dd35c2329c66e62d2c684f253d59c229df6e43b896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "200e87931a50f8a8bffd0173e74ac597c2b1e73e7d0ba23aec0c7224a86e93dc",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-09T02:48:51Z",
    "title_canon_sha256": "7014eeb92e4187c3a58692c954dfbe2a4a8f163e1d6bc1624f2de9c3676d6013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03355",
    "kind": "arxiv",
    "version": 1
  }
}