Pith Number

pith:LIS6D6GF

pith:1999:LIS6D6GFBFWO4ZOACWSBOLVAKO

not attested not anchored not stored refs pending

Gravitational Collapse with a Cosmological Constant

Department of Physics), Draza Markovic & Stuart Shapiro (University of Illinois at Urbana-Champaign

arxiv:gr-qc/9912066 v1 · 1999-12-15 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIS6D6GFBFWO4ZOACWSBOLVAKO}

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.

Cited by

1 paper in Pith

Regular black hole solutions and the quark chemical potential at the QCD phase transition

Receipt and verification

First computed	2026-07-04T16:13:56.717987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a25e1f8c5096cee65c015a4172ea05398a662958a52f6c1f6d7679724ee4f38

Aliases

arxiv: gr-qc/9912066 · arxiv_version: gr-qc/9912066v1 · doi: 10.48550/arxiv.gr-qc/9912066 · pith_short_12: LIS6D6GFBFWO · pith_short_16: LIS6D6GFBFWO4ZOA · pith_short_8: LIS6D6GF

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/LIS6D6GFBFWO4ZOACWSBOLVAKO \
  | 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: 5a25e1f8c5096cee65c015a4172ea05398a662958a52f6c1f6d7679724ee4f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca29e7603113733d533928ae7d20508f1a8bd043c0761bd4b1303967b85babff",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-12-15T23:51:12Z",
    "title_canon_sha256": "2de833632d8ea3023e6a07bdff833da5f1136cc653f05ef65f3e0f0eb62b0628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9912066",
    "kind": "arxiv",
    "version": 1
  }
}