Pith Number

pith:3ARA5EZU

pith:2010:3ARA5EZUAV3ZNVWMQPFOOWL2CU

not attested not anchored not stored refs pending

On the Dynamics and Evolution of Gravitational Instability-Dominated Disks

Andreas Burkert, Mark R. Krumholz

arxiv:1003.4513 v2 · 2010-03-23 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ARA5EZUAV3ZNVWMQPFOOWL2CU}

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	2026-05-18T02:08:23.897631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8220e9334057796d6cc83cae7597a15176f14ad7e72b8b74de74a7dd544eb50

Aliases

arxiv: 1003.4513 · arxiv_version: 1003.4513v2 · doi: 10.48550/arxiv.1003.4513 · pith_short_12: 3ARA5EZUAV3Z · pith_short_16: 3ARA5EZUAV3ZNVWM · pith_short_8: 3ARA5EZU

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/3ARA5EZUAV3ZNVWMQPFOOWL2CU \
  | 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: d8220e9334057796d6cc83cae7597a15176f14ad7e72b8b74de74a7dd544eb50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "622a2cd7eed36d60d378931934d69390593765d79eaaba782eae747d0eca7767",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-03-23T20:00:11Z",
    "title_canon_sha256": "93e53379bf04047c4883505e1f852bf0e36a43172e1207b975f90e4190cb2e79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4513",
    "kind": "arxiv",
    "version": 2
  }
}