pith. sign in
Pith Number

pith:CX2VANO6

pith:2013:CX2VANO66FSVP6SL3ZTVS3WMEA
not attested not anchored not stored refs pending

Two-Component Secular Gravitational Instability in a Protoplanetary Disk: A Possible Mechanism for Creating Ring-Like Structures

Sanemichi Z. Takahashi, Shu-ichiro Inutsuka

arxiv:1312.6870 v2 · 2013-12-24 · astro-ph.EP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CX2VANO66FSVP6SL3ZTVS3WMEA}

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 2026-05-18T01:45:41.936280Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

15f55035def16557fa4bde67596ecc202e48c8dfbfb01e015c5bd7cf3dc27bd1

Aliases

arxiv: 1312.6870 · arxiv_version: 1312.6870v2 · doi: 10.48550/arxiv.1312.6870 · pith_short_12: CX2VANO66FSV · pith_short_16: CX2VANO66FSVP6SL · pith_short_8: CX2VANO6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CX2VANO66FSVP6SL3ZTVS3WMEA \
  | 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: 15f55035def16557fa4bde67596ecc202e48c8dfbfb01e015c5bd7cf3dc27bd1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ac694f90b227e9fdf719ad49ce69d56ef801612012ca6aaa01930b217758005a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2013-12-24T18:43:00Z",
    "title_canon_sha256": "a89c556cdc3a2ecdeaf4deda9ec94724e72ea2cacafc9f92f33098b3a19a1072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6870",
    "kind": "arxiv",
    "version": 2
  }
}