Pith Number

pith:GF2KSMQT

pith:2012:GF2KSMQT2O7T2OAF6X2S4UF6U4

not attested not anchored not stored refs pending

Gravitational Instability of Rotating, Pressure-Confined, Polytropic Gas Disks With Vertical Stratification

(2) The University of Arizona, 3) ((1) Seoul National University, (3) National Youth Space Center of Korea), Jeong-Gyu Kim (1), Seung Soo Hong (1, Woong-Tae Kim (1), Young Min Seo (2)

arxiv:1210.6207 v1 · 2012-10-23 · astro-ph.GA · 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{GF2KSMQT2O7T2OAF6X2S4UF6U4}

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	2026-05-18T01:53:44.385396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3174a93213d3bf3d3805f5f52e50bea731f5564f1948e9c09e1e03f2024c4b72

Aliases

arxiv: 1210.6207 · arxiv_version: 1210.6207v1 · doi: 10.48550/arxiv.1210.6207 · pith_short_12: GF2KSMQT2O7T · pith_short_16: GF2KSMQT2O7T2OAF · pith_short_8: GF2KSMQT

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/GF2KSMQT2O7T2OAF6X2S4UF6U4 \
  | 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: 3174a93213d3bf3d3805f5f52e50bea731f5564f1948e9c09e1e03f2024c4b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b08b641c82cb62e4125bcc59fec0f0b4b7e50f9d0416c20bcce48964f63951c",
    "cross_cats_sorted": [
      "astro-ph.EP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2012-10-23T11:46:57Z",
    "title_canon_sha256": "07d9cbfc59e22ccc2c5f175a23a66402c6aebf68a5f027ee52e04fc9be874b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6207",
    "kind": "arxiv",
    "version": 1
  }
}