Pith Number

pith:4XRZP7L4

pith:2011:4XRZP7L4AA6APABBQFD3C3G6JP

not attested not anchored not stored refs pending

The origin of the negative torque density in disk-satellite interaction

Cristobal Petrovich (Princeton), Roman R. Rafikov

arxiv:1112.2717 v1 · 2011-12-12 · astro-ph.EP · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XRZP7L4AA6APABBQFD3C3G6JP}

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	2026-05-18T01:59:11.330610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e397fd7c003c0780218147b16cde4bcd4858a68081badb9a5b638ba862535f

Aliases

arxiv: 1112.2717 · arxiv_version: 1112.2717v1 · doi: 10.48550/arxiv.1112.2717 · pith_short_12: 4XRZP7L4AA6A · pith_short_16: 4XRZP7L4AA6APABB · pith_short_8: 4XRZP7L4

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/4XRZP7L4AA6APABBQFD3C3G6JP \
  | 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: e5e397fd7c003c0780218147b16cde4bcd4858a68081badb9a5b638ba862535f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4db050aa974ce26f6960e9ded6e9ed575d240ad2acb15d1eadd888604dfb0ed",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2011-12-12T21:05:19Z",
    "title_canon_sha256": "289590d4b7125904c2421e0ffc7fcfb92f77c75852efe9b9b8c4e62d86b31468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2717",
    "kind": "arxiv",
    "version": 1
  }
}