Pith Number

pith:3PEMQT66

pith:2015:3PEMQT66KM7Q63K7Y3KNXGUJYX

not attested not anchored not stored refs pending

High order symplectic integrators based on continuous-stage Runge-Kutta Nystrom methods

Jingjing Zhang, Wensheng Tang, Yajuan Sun

arxiv:1510.04395 v4 · 2015-10-15 · 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{3PEMQT66KM7Q63K7Y3KNXGUJYX}

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	2026-05-17T23:43:54.428868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc8c84fde533f0f6d5fc6d4db9a89c5dcfe61a0b8648da30d68070ff2fa6c12

Aliases

arxiv: 1510.04395 · arxiv_version: 1510.04395v4 · doi: 10.48550/arxiv.1510.04395 · pith_short_12: 3PEMQT66KM7Q · pith_short_16: 3PEMQT66KM7Q63K7 · pith_short_8: 3PEMQT66

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/3PEMQT66KM7Q63K7Y3KNXGUJYX \
  | 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: dbc8c84fde533f0f6d5fc6d4db9a89c5dcfe61a0b8648da30d68070ff2fa6c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b47c9f906e58b65ae5bd782f7989e9a09bd88a3d842e136d6a273b4eea2e63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-10-15T04:12:04Z",
    "title_canon_sha256": "fd7ba33d4c347bef192fb450e877d162933f9ba07dd186e3cf4505d1bd5e49fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04395",
    "kind": "arxiv",
    "version": 4
  }
}