Pith Number

pith:42DZUVY2

pith:2009:42DZUVY2JTHJZAOM6LRU7DI2J7

not attested not anchored not stored refs pending

Time-dependent models of the structure and evolution of self-gravitating protoplanetary discs

P.J. Armitage, W.K.M. Rice

arxiv:0904.1921 v1 · 2009-04-13 · astro-ph.SR · 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{42DZUVY2JTHJZAOM6LRU7DI2J7}

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	2026-05-18T04:08:24.761230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6879a571a4cce9c81ccf2e34f8d1a4ffd1c76f338faf88815a2dd383e1b45dc

Aliases

arxiv: 0904.1921 · arxiv_version: 0904.1921v1 · doi: 10.48550/arxiv.0904.1921 · pith_short_12: 42DZUVY2JTHJ · pith_short_16: 42DZUVY2JTHJZAOM · pith_short_8: 42DZUVY2

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/42DZUVY2JTHJZAOM6LRU7DI2J7 \
  | 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: e6879a571a4cce9c81ccf2e34f8d1a4ffd1c76f338faf88815a2dd383e1b45dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed31726f3977657e50d3a726f5ecc36f7edf8190c48610943ad79aa5bf416ed",
    "cross_cats_sorted": [
      "astro-ph.EP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2009-04-13T07:21:30Z",
    "title_canon_sha256": "3df06887ba63ad46dc386411514de14debc1d2cce124b4511f8b0973bf2d184a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1921",
    "kind": "arxiv",
    "version": 1
  }
}