Pith Number

pith:S3DUMKBI

pith:2026:S3DUMKBIYWIE6U77II22OVEOVM

not attested not anchored not stored refs pending

Expansion of the planetary Hamiltonian for small eccentricities and inclinations: a vector formalism

Federico Mogavero

arxiv:2607.12003 v1 · 2026-07-13 · math-ph · astro-ph.EP · 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{S3DUMKBIYWIE6U77II22OVEOVM}

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	2026-07-15T00:21:27.328778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96c7462828c5904f53ff4235a7548eab07b4d49cebd6fc048605181fa0277a4d

Aliases

arxiv: 2607.12003 · arxiv_version: 2607.12003v1 · doi: 10.48550/arxiv.2607.12003 · pith_short_12: S3DUMKBIYWIE · pith_short_16: S3DUMKBIYWIE6U77 · pith_short_8: S3DUMKBI

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/S3DUMKBIYWIE6U77II22OVEOVM \
  | 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: 96c7462828c5904f53ff4235a7548eab07b4d49cebd6fc048605181fa0277a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "600931b8195b0eace4db14cd2b0935bc97830ee2e6dc67929402596ab94b8b40",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-13T18:00:00Z",
    "title_canon_sha256": "5486b34e3e3c749f355d30be712c6667d9f5d89125fc9e8918488f927ede5dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12003",
    "kind": "arxiv",
    "version": 1
  }
}