Pith Number

pith:XGRMM45Z

pith:2023:XGRMM45ZO6QY4RKWXOMB6ET5DX

not attested not anchored not stored refs pending

The generalized Vaidya spacetime with polytropic equation of state

Vitalii Vertogradov

arxiv:2311.15671 v2 · 2023-11-27 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGRMM45ZO6QY4RKWXOMB6ET5DX}

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

Formation of regular black hole from baryonic matter

Receipt and verification

First computed	2026-07-05T07:48:50.664005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9a2c673b977a18e4556bb981f127d1dcff88a881db1513aae3b5a6a53cd7419

Aliases

arxiv: 2311.15671 · arxiv_version: 2311.15671v2 · doi: 10.48550/arxiv.2311.15671 · pith_short_12: XGRMM45ZO6QY · pith_short_16: XGRMM45ZO6QY4RKW · pith_short_8: XGRMM45Z

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/XGRMM45ZO6QY4RKWXOMB6ET5DX \
  | 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: b9a2c673b977a18e4556bb981f127d1dcff88a881db1513aae3b5a6a53cd7419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbff54614424aa61ec43b824d69233342c67ca877bbd4862110f88ad1204de89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-11-27T10:01:00Z",
    "title_canon_sha256": "c818760465a3bfeef3c0a4ca3be7a5a2186b81a9f0b1058fcb7e91b9820600d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15671",
    "kind": "arxiv",
    "version": 2
  }
}