Pith Number

pith:LDHHL2HX

pith:2009:LDHHL2HXSMHHCB4YIN2DAKTWG6

not attested not anchored not stored refs pending

A Symplectic Integrator for Hill's Equations

D. C. Richardson, R. Barnes, R. P. Perrine, T. Quinn

arxiv:0908.2269 v2 · 2009-08-17 · astro-ph.EP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDHHL2HXSMHHCB4YIN2DAKTWG6}

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	2026-05-18T02:12:33.679670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58ce75e8f7930e7107984374302a76378fac47965527a73135bc5877b14789c8

Aliases

arxiv: 0908.2269 · arxiv_version: 0908.2269v2 · doi: 10.48550/arxiv.0908.2269 · pith_short_12: LDHHL2HXSMHH · pith_short_16: LDHHL2HXSMHHCB4Y · pith_short_8: LDHHL2HX

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/LDHHL2HXSMHHCB4YIN2DAKTWG6 \
  | 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: 58ce75e8f7930e7107984374302a76378fac47965527a73135bc5877b14789c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319e3a52f2716da8d6cd211b801a725d28d0ced6862a6fc5f3189326341f38dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2009-08-17T00:39:06Z",
    "title_canon_sha256": "4b2c5939b675c4b0dc74a908cf1be6e19038b71a871c2d24d24d71bb1c577f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2269",
    "kind": "arxiv",
    "version": 2
  }
}