Pith Number

pith:VPRGSGGS

pith:2011:VPRGSGGSFVJD2G3KPLIOQQ4NNZ

not attested not anchored not stored refs pending

Protoplanetary Disks and Their Evolution

Jonathan P. Williams, Lucas A. Cieza (University of Hawaii at Manoa)

arxiv:1103.0556 v2 · 2011-03-02 · astro-ph.GA · 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{VPRGSGGSFVJD2G3KPLIOQQ4NNZ}

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.

Cited by

3 papers in Pith

Insights from Analytical Theory of Eccentric Circumbinary Disks II. Forced Modes and Resonance for Precessing Binaries

Scattered light signatures of flyby-induced warps in protoplanetary discs

Millimeter dust continuum and polarization in protoplanetary disks with scattering: A slab model

Receipt and verification

First computed	2026-05-18T04:14:37.917557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe26918d22d523d1b6a7ad0e8438d6e51204201d6183622ae98ad8c81922d31

Aliases

arxiv: 1103.0556 · arxiv_version: 1103.0556v2 · doi: 10.48550/arxiv.1103.0556 · pith_short_12: VPRGSGGSFVJD · pith_short_16: VPRGSGGSFVJD2G3K · pith_short_8: VPRGSGGS

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/VPRGSGGSFVJD2G3KPLIOQQ4NNZ \
  | 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: abe26918d22d523d1b6a7ad0e8438d6e51204201d6183622ae98ad8c81922d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2dbc80337603216518e8ccdd0f0aa93a71003f6c7ce3938f255800a62a5a392",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-03-02T21:12:10Z",
    "title_canon_sha256": "7dec4041e9b55b8176817b7b4532b49a70a4aaae683a361e4521457b7c940400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0556",
    "kind": "arxiv",
    "version": 2
  }
}