pith. sign in
Pith Number

pith:VHYHAE6P

pith:2006:VHYHAE6PZVFOYDBBUVWLFU46WE
not attested not anchored not stored refs pending

The linear stability of dilute particulate rings

Gordon I. Ogilvie, Henrik N. Latter

arxiv:astro-ph/0609164 v1 · 2006-09-06 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VHYHAE6PZVFOYDBBUVWLFU46WE}

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 2026-07-04T16:59:21.766036Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9f07013cfcd4aec0c21a56cb2d39eb125e91a778637555d1d542a00e88a715f

Aliases

arxiv: astro-ph/0609164 · arxiv_version: astro-ph/0609164v1 · doi: 10.48550/arxiv.astro-ph/0609164 · pith_short_12: VHYHAE6PZVFO · pith_short_16: VHYHAE6PZVFOYDBB · pith_short_8: VHYHAE6P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VHYHAE6PZVFOYDBBUVWLFU46WE \
  | 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: a9f07013cfcd4aec0c21a56cb2d39eb125e91a778637555d1d542a00e88a715f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f08980b764991e31898e887b4b766024d498ffbec10846231090762bdb8c629a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-09-06T15:36:06Z",
    "title_canon_sha256": "d2d956a25e946c4962d2ea1c5e2c151d0eff36690f3388c7ef3c852e0ef2159a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0609164",
    "kind": "arxiv",
    "version": 1
  }
}