pith. sign in
Pith Number

pith:NUH4V4SX

pith:2009:NUH4V4SXGK5O557OZNBEF5RAQB
not attested not anchored not stored refs pending

Had the planet mars not existed: Kepler's equant model and its physical consequences

Christian Bracco, Jean-Pierre Provost

arxiv:0906.0484 v1 · 2009-06-02 · physics.hist-ph · physics.gen-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NUH4V4SXGK5O557OZNBEF5RAQB}

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 2026-05-18T02:13:29.739588Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6d0fcaf25732baeef7eecb4242f6208064a570cc8932e7e54000f832f0a4587d

Aliases

arxiv: 0906.0484 · arxiv_version: 0906.0484v1 · doi: 10.48550/arxiv.0906.0484 · pith_short_12: NUH4V4SXGK5O · pith_short_16: NUH4V4SXGK5O557O · pith_short_8: NUH4V4SX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NUH4V4SXGK5O557OZNBEF5RAQB \
  | 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: 6d0fcaf25732baeef7eecb4242f6208064a570cc8932e7e54000f832f0a4587d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "de1b0b80f43b22482c2d9ed36b714944f82438e357507797492fba8533b80b2b",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2009-06-02T13:54:35Z",
    "title_canon_sha256": "287994f37199e41cc51c70374786596b5054196a94897d89b832ac116e97cf85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0484",
    "kind": "arxiv",
    "version": 1
  }
}