Pith Number

pith:PDNJJNYM

pith:2012:PDNJJNYMW4ORHJVBMSEDJ337V7

not attested not anchored not stored refs pending

On the convergence of the critical cooling timescale for the fragmentation of self-gravitating discs

Farzana Meru, Matthew R. Bate

arxiv:1209.1107 v1 · 2012-09-05 · astro-ph.EP · astro-ph.GA · 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{PDNJJNYMW4ORHJVBMSEDJ337V7}

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	2026-05-18T01:54:39.851839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78da94b70cb71d13a6a1648834ef7fafe20ce169190ae138e43de84c19d2f218

Aliases

arxiv: 1209.1107 · arxiv_version: 1209.1107v1 · doi: 10.48550/arxiv.1209.1107 · pith_short_12: PDNJJNYMW4OR · pith_short_16: PDNJJNYMW4ORHJVB · pith_short_8: PDNJJNYM

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/PDNJJNYMW4ORHJVBMSEDJ337V7 \
  | 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: 78da94b70cb71d13a6a1648834ef7fafe20ce169190ae138e43de84c19d2f218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1427d4ae57227890a94396bf70c40ef60110ee1ecdc757761e217968e99b00",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2012-09-05T20:02:59Z",
    "title_canon_sha256": "12a8dc7d58464bba528c0a8d6530dfb9a5d2ba94211ec37958a3701216f58dbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1107",
    "kind": "arxiv",
    "version": 1
  }
}