Pith Number

pith:B3RBF2HJ

pith:2026:B3RBF2HJIAMZ4B2AFVIO7E2F3I

not attested not anchored not stored refs pending

Shadow of the generalized Vaidya black hole

Ali \"Ovg\"un, Vitalii Vertogradov

arxiv:2607.17483 v1 · 2026-07-20 · 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{B3RBF2HJIAMZ4B2AFVIO7E2F3I}

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	2026-07-21T01:21:47.769962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee212e8e940199e07402d50ef9345da328a5396daf02e51f049df4e849b8fd3

Aliases

arxiv: 2607.17483 · arxiv_version: 2607.17483v1 · doi: 10.48550/arxiv.2607.17483 · pith_short_12: B3RBF2HJIAMZ · pith_short_16: B3RBF2HJIAMZ4B2A · pith_short_8: B3RBF2HJ

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/B3RBF2HJIAMZ4B2AFVIO7E2F3I \
  | 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: 0ee212e8e940199e07402d50ef9345da328a5396daf02e51f049df4e849b8fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e275ae42122b2249f76ff68b9a8f4ce24785d99f36c313a8ec43039c0391d66",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-20T02:14:13Z",
    "title_canon_sha256": "5fb2af3c07578b0ca8a9f7d6dea0def6ade63d479f88c0b4c955afeaaab7ac7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17483",
    "kind": "arxiv",
    "version": 1
  }
}