pith. sign in
Pith Number

pith:6YR6G63A

pith:2012:6YR6G63AKA7RRGVEZ3RBNP3DI6
not attested not anchored not stored refs pending

On the stability criteria for equatorial circular orbits in Galactic Dynamics: I.Newtonian Thin Disks

Javier Ramos-Caro, Ronaldo S. S. Vieira

arxiv:1206.6501 v2 · 2012-06-27 · astro-ph.CO · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6YR6G63AKA7RRGVEZ3RBNP3DI6}

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 2026-05-18T03:27:11.436397Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f623e37b60503f189aa4cee216bf63478d858946ca8fba52e091db33f31ab28b

Aliases

arxiv: 1206.6501 · arxiv_version: 1206.6501v2 · doi: 10.48550/arxiv.1206.6501 · pith_short_12: 6YR6G63AKA7R · pith_short_16: 6YR6G63AKA7RRGVE · pith_short_8: 6YR6G63A
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6YR6G63AKA7RRGVEZ3RBNP3DI6 \
  | 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: f623e37b60503f189aa4cee216bf63478d858946ca8fba52e091db33f31ab28b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "68b4b903104f36f5be784609feb0abc017edc9dd107b44f4338a3c646037e51b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-27T20:00:18Z",
    "title_canon_sha256": "9a021e62cfd80f75ef57db749dabb7a32340531028548500c558452d19571f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6501",
    "kind": "arxiv",
    "version": 2
  }
}