Pith Number

pith:V27JTMCQ

pith:2018:V27JTMCQ3G67WVRRTPMDNHGPEA

not attested not anchored not stored refs pending

Scale-free gravitational collapse as the origin of $\rho \sim r^{-2}$ density profile -- a possible role of turbulence in regulating gravitational collapse

Guang-Xing Li

arxiv:1803.03273 v2 · 2018-03-08 · 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{V27JTMCQ3G67WVRRTPMDNHGPEA}

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	2026-05-18T00:15:51.770959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebe99b050d9bdfb56319bd8369ccf20082c7cc9fdb867be9d6fdcbfd3ea4ab3

Aliases

arxiv: 1803.03273 · arxiv_version: 1803.03273v2 · doi: 10.48550/arxiv.1803.03273 · pith_short_12: V27JTMCQ3G67 · pith_short_16: V27JTMCQ3G67WVRR · pith_short_8: V27JTMCQ

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/V27JTMCQ3G67WVRRTPMDNHGPEA \
  | 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: aebe99b050d9bdfb56319bd8369ccf20082c7cc9fdb867be9d6fdcbfd3ea4ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a00270585c5d9c69b902c3dfe4b4e9178a8e480794b3b6117ea5ffc4281fdc",
    "cross_cats_sorted": [
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-03-08T19:00:12Z",
    "title_canon_sha256": "f60acd9587f29c34d814a0b5b1d11e929e2890d040167cde06c228b377b574ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03273",
    "kind": "arxiv",
    "version": 2
  }
}