Pith Number

pith:3XGR7AVM

pith:2009:3XGR7AVMKIBIBTCUNIDSRJBEZN

not attested not anchored not stored refs pending

Emergence of Protoplanetary Disks and Successive Formation of Gaseous Planets by Gravitational Instability

Masahiro N. Machida, Shu-ichiro Inutsuka, Tomoaki Matsumoto

arxiv:0912.5439 v2 · 2009-12-30 · astro-ph.EP · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XGR7AVMKIBIBTCUNIDSRJBEZN}

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	2026-05-18T02:10:13.182617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcd1f82ac520280cc546a0728a424cb73e32d6003525decc936a6a60db7f5c1

Aliases

arxiv: 0912.5439 · arxiv_version: 0912.5439v2 · doi: 10.48550/arxiv.0912.5439 · pith_short_12: 3XGR7AVMKIBI · pith_short_16: 3XGR7AVMKIBIBTCU · pith_short_8: 3XGR7AVM

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/3XGR7AVMKIBIBTCUNIDSRJBEZN \
  | 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: ddcd1f82ac520280cc546a0728a424cb73e32d6003525decc936a6a60db7f5c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbafd8492d8f6ffa3c51f48928aa3c0f6859d9d6bb0d05cd50ce63250ae24004",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2009-12-30T10:18:42Z",
    "title_canon_sha256": "099f0326b1abfb4e300bb43043ba342a774245bb64470eac283f735bc691a4ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5439",
    "kind": "arxiv",
    "version": 2
  }
}