Pith Number

pith:FSF4HUD5

pith:2012:FSF4HUD5GMAZ5T4XXAVVBIW7I5

not attested not anchored not stored refs pending

Linear and nonlinear evolution of the vertical shear instability in accretion discs

Oliver Gressel, Orkan M. Umurhan, Richard P. Nelson

arxiv:1209.2753 v1 · 2012-09-12 · 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{FSF4HUD5GMAZ5T4XXAVVBIW7I5}

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	2026-05-18T01:54:29.688218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c8bc3d07d33019ecf97b82b50a2df475752b1db133899025242d0a362a3caff

Aliases

arxiv: 1209.2753 · arxiv_version: 1209.2753v1 · doi: 10.48550/arxiv.1209.2753 · pith_short_12: FSF4HUD5GMAZ · pith_short_16: FSF4HUD5GMAZ5T4X · pith_short_8: FSF4HUD5

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/FSF4HUD5GMAZ5T4XXAVVBIW7I5 \
  | 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: 2c8bc3d07d33019ecf97b82b50a2df475752b1db133899025242d0a362a3caff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424abaf21d2398f3c782be9f4a6f9dca2159d2aea319b78c252c2336146e4223",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2012-09-12T23:28:42Z",
    "title_canon_sha256": "45a426a2f2cf7687ace17a198f2e34f6bda3417a581139201d8eb67c8df2e0a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2753",
    "kind": "arxiv",
    "version": 1
  }
}