Pith Number

pith:FREWIU47

pith:2013:FREWIU47XVVD62L2D644VGOBWU

not attested not anchored not stored refs pending

Relativistic Self-similar Dynamic Collapses of Black Holes in General Polytropic Spherical Clouds

Biao Lian, Yu-Qing Lou

arxiv:1311.5570 v1 · 2013-11-21 · astro-ph.SR · 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{FREWIU47XVVD62L2D644VGOBWU}

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	2026-05-18T02:57:26.277338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4964539fbd6a3f697a1fb9ca99c1b50fa05d8606241a45efa5fc2979706733

Aliases

arxiv: 1311.5570 · arxiv_version: 1311.5570v1 · doi: 10.48550/arxiv.1311.5570 · pith_short_12: FREWIU47XVVD · pith_short_16: FREWIU47XVVD62L2 · pith_short_8: FREWIU47

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/FREWIU47XVVD62L2D644VGOBWU \
  | 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: 2c4964539fbd6a3f697a1fb9ca99c1b50fa05d8606241a45efa5fc2979706733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b77bbbd01cf73f34325051b22fc8063e3805ee4cf6bd454cc29ab9a9fc8c69b",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2013-11-21T21:00:39Z",
    "title_canon_sha256": "34a848a9877aacbaacc0ccbf8fd0eaaaef7617aa456a6bd4be4fa2a98a6dfc1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5570",
    "kind": "arxiv",
    "version": 1
  }
}