Pith Number

pith:B7H7WP4Y

pith:2022:B7H7WP4YLCNG6CCOOSSY3B2JBS

not attested not anchored not stored refs pending

Vaidya and generalized Vaidya solutions by gravitational decoupling

Maxim Misyura, Vitalii Vertogradov

arxiv:2209.07441 v2 · 2022-09-15 · 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{B7H7WP4YLCNG6CCOOSSY3B2JBS}

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	2026-07-05T05:23:11.880177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fcffb3f98589a6f084e74a58d87490cba194c533593a8e6732557fa8e3f1dcb

Aliases

arxiv: 2209.07441 · arxiv_version: 2209.07441v2 · doi: 10.48550/arxiv.2209.07441 · pith_short_12: B7H7WP4YLCNG · pith_short_16: B7H7WP4YLCNG6CCO · pith_short_8: B7H7WP4Y

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/B7H7WP4YLCNG6CCOOSSY3B2JBS \
  | 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: 0fcffb3f98589a6f084e74a58d87490cba194c533593a8e6732557fa8e3f1dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb20ee020dad90c9ee3656211b221067ab8933b4ffbb8f3bb7fcac1aeadf2657",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-09-15T16:42:54Z",
    "title_canon_sha256": "ccb21f3d95c43d9a0e409633b60e3fb7fa642016e8da8bbf3affea7064de361c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.07441",
    "kind": "arxiv",
    "version": 2
  }
}