Pith Number

pith:EMZILOGR

pith:2019:EMZILOGRHNVRFS7QC7UJN75KQO

not attested not anchored not stored refs pending

Numerical integration in celestial mechanics: a case for contact geometry

Alessandro Bravetti, Federico Zadra, Marcello Seri, Mats Vermeeren

arxiv:1909.02613 v3 · 2019-09-05 · math.NA · astro-ph.EP · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMZILOGRHNVRFS7QC7UJN75KQO}

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	2026-07-05T00:26:58.556252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

233285b8d13b6b12cbf017e896ffaa839b71fb449b3d77dc6ebf841039ea0cf6

Aliases

arxiv: 1909.02613 · arxiv_version: 1909.02613v3 · doi: 10.48550/arxiv.1909.02613 · pith_short_12: EMZILOGRHNVR · pith_short_16: EMZILOGRHNVRFS7Q · pith_short_8: EMZILOGR

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/EMZILOGRHNVRFS7QC7UJN75KQO \
  | 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: 233285b8d13b6b12cbf017e896ffaa839b71fb449b3d77dc6ebf841039ea0cf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce840cfd35f5bf22c6c191fc22283d1a50507e4a1f2a5a90939964d4252510e",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-09-05T19:46:09Z",
    "title_canon_sha256": "3e1c49842b7dbd87892df45552394ec81955416be1efd99abaeac50d329d3428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02613",
    "kind": "arxiv",
    "version": 3
  }
}