Pith Number

pith:LGDQ7FHP

pith:2009:LGDQ7FHPCTBDRFGPY47TZWADPH

not attested not anchored not stored refs pending

The effects of opacity on gravitational stability in protoplanetary discs

Cathie Clarke, Giuseppe Lodato, Peter Cossins

arxiv:0910.0850 v1 · 2009-10-05 · astro-ph.GA · astro-ph.EP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGDQ7FHPCTBDRFGPY47TZWADPH}

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	2026-05-18T02:11:26.535113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59870f94ef14c23894cfc73f3cd80379f4150acc60b4c5416f169184d3cd3c99

Aliases

arxiv: 0910.0850 · arxiv_version: 0910.0850v1 · doi: 10.48550/arxiv.0910.0850 · pith_short_12: LGDQ7FHPCTBD · pith_short_16: LGDQ7FHPCTBDRFGP · pith_short_8: LGDQ7FHP

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/LGDQ7FHPCTBDRFGPY47TZWADPH \
  | 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: 59870f94ef14c23894cfc73f3cd80379f4150acc60b4c5416f169184d3cd3c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eef1c8e82e305798d9549b47e633ae0b2fa28fea71414152e14c55bef7faf7a",
    "cross_cats_sorted": [
      "astro-ph.EP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2009-10-05T20:11:39Z",
    "title_canon_sha256": "ee4496a3ce277779cc3f814690c33eadfdeb0a8fa735e48f0512c6cc7e2f57f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0850",
    "kind": "arxiv",
    "version": 1
  }
}