Pith Number

pith:T5OLKDPT

pith:2011:T5OLKDPTUHSDRPMY3FXQWKIHDJ

not attested not anchored not stored refs pending

Planetesimal and Protoplanet Dynamics in a Turbulent Protoplanetary Disk: Ideal Stratified Disks

Chao-Chin Yang, Kristen Menou, Mordecai-Mark Mac Low

arxiv:1103.3268 v2 · 2011-03-16 · 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{T5OLKDPTUHSDRPMY3FXQWKIHDJ}

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	2026-05-18T02:02:50.655656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5cb50df3a1e438bd98d96f0b29071a6873cde2b334e8c75d713af9147f50d7

Aliases

arxiv: 1103.3268 · arxiv_version: 1103.3268v2 · doi: 10.48550/arxiv.1103.3268 · pith_short_12: T5OLKDPTUHSD · pith_short_16: T5OLKDPTUHSDRPMY · pith_short_8: T5OLKDPT

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/T5OLKDPTUHSDRPMY3FXQWKIHDJ \
  | 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: 9f5cb50df3a1e438bd98d96f0b29071a6873cde2b334e8c75d713af9147f50d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3a6d958c24ae8b9721de99e9e91a45806e80187208f350725d30da307a1809",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2011-03-16T20:00:00Z",
    "title_canon_sha256": "e2c0fd1736be34bfaf7aeffff32737f12e8d3d46adbe95f98a056505867695e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3268",
    "kind": "arxiv",
    "version": 2
  }
}