Pith Number

pith:RYKQ5WBX

pith:2011:RYKQ5WBXK7EVWV6JULDWPAYRFH

not attested not anchored not stored refs pending

Density Waves Excited by Low-Mass Planets in Protoplanetary Disks I: Linear Regime

Cristobal Petrovich (Princeton), James M. Stone, Roman R. Rafikov, Ruobing Dong

arxiv:1109.1557 v4 · 2011-09-07 · 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{RYKQ5WBXK7EVWV6JULDWPAYRFH}

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	2026-05-18T04:10:58.359497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e150ed83757c95b57c9a2c767831129efdcd0b33ded0ff09a03f2c84431b6a6

Aliases

arxiv: 1109.1557 · arxiv_version: 1109.1557v4 · doi: 10.48550/arxiv.1109.1557 · pith_short_12: RYKQ5WBXK7EV · pith_short_16: RYKQ5WBXK7EVWV6J · pith_short_8: RYKQ5WBX

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/RYKQ5WBXK7EVWV6JULDWPAYRFH \
  | 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: 8e150ed83757c95b57c9a2c767831129efdcd0b33ded0ff09a03f2c84431b6a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c9f38ed4c071066651e7f8e272679d920e487aba211a040b7cc9243f8c33ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2011-09-07T20:00:04Z",
    "title_canon_sha256": "0931f6e0171b39aa337bf1cfc436e10000328f5f7cb2000940719402e22dd8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1557",
    "kind": "arxiv",
    "version": 4
  }
}