Pith Number

pith:SF5SGHVR

pith:2018:SF5SGHVRRV2VPBWKI56P3WMFNO

not attested not anchored not stored refs pending

Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems

Zaijiu Shang, Zhaodong Ding

arxiv:1805.03425 v1 · 2018-05-09 · math.DS · math.CA · 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{SF5SGHVRRV2VPBWKI56P3WMFNO}

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	2026-05-18T00:16:20.259934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917b231eb18d755786ca477cfdd9856bbe0f8dfffbd94407acf118688a9abd8d

Aliases

arxiv: 1805.03425 · arxiv_version: 1805.03425v1 · doi: 10.48550/arxiv.1805.03425 · pith_short_12: SF5SGHVRRV2V · pith_short_16: SF5SGHVRRV2VPBWK · pith_short_8: SF5SGHVR

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/SF5SGHVRRV2VPBWKI56P3WMFNO \
  | 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: 917b231eb18d755786ca477cfdd9856bbe0f8dfffbd94407acf118688a9abd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d4c12078d5e5ea60b946706359ab6f9cb2598aa3817c6b854cbfb9fb443f6b",
    "cross_cats_sorted": [
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-09T09:10:15Z",
    "title_canon_sha256": "c6ef4bbc74c0221a0899e6694a45e2a3969d4a43e77ea54bf4d5e0a055c57db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03425",
    "kind": "arxiv",
    "version": 1
  }
}