Pith Number

pith:VS3OIUS4

pith:2015:VS3OIUS4LTUTOP5MTJWJ3RYEC3

not attested not anchored not stored refs pending

WHFast: A fast and unbiased implementation of a symplectic Wisdom-Holman integrator for long term gravitational simulations

Daniel Tamayo, Hanno Rein

arxiv:1506.01084 v1 · 2015-06-02 · astro-ph.EP · astro-ph.IM · math.NA · nlin.CD · 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{VS3OIUS4LTUTOP5MTJWJ3RYEC3}

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.

Cited by

2 papers in Pith

Orbital Stability of Closely-Spaced Four-planet Systems

Formation of stable exoplanetary systems around pulsars by capture: An exercise in computational classical mechanics

Receipt and verification

First computed	2026-05-18T01:36:53.119246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb6e4525c5ce9373fac9a6c9dc70416d7a930c4e9305ca3feea990971b737fc

Aliases

arxiv: 1506.01084 · arxiv_version: 1506.01084v1 · doi: 10.48550/arxiv.1506.01084 · pith_short_12: VS3OIUS4LTUT · pith_short_16: VS3OIUS4LTUTOP5M · pith_short_8: VS3OIUS4

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/VS3OIUS4LTUTOP5MTJWJ3RYEC3 \
  | 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: acb6e4525c5ce9373fac9a6c9dc70416d7a930c4e9305ca3feea990971b737fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119bb695932f857c4b9f3da0ae5e27777955f6a0cd99180f2fa14c988fc6f879",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "math.NA",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2015-06-02T23:18:59Z",
    "title_canon_sha256": "1bb40ae25e425e94343951f2fbc9d19a47eb106fbbd0df1c82e1d93f5ecfb968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01084",
    "kind": "arxiv",
    "version": 1
  }
}