Pith Number

pith:2IILWRNP

pith:2022:2IILWRNP7Y5SJWG46TEW7U2BGA

not attested not anchored not stored refs pending

The structure of the generalized Vaidya spacetime containing the eternal naked singularity

Vitalii Vertogradov

arxiv:2209.10953 v2 · 2022-09-22 · 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{2IILWRNP7Y5SJWG46TEW7U2BGA}

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	2026-07-05T05:31:54.902392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d210bb45affe3b24d8dcf4c96fd3413016407e9b1ac183f7bee7a17b8c679a77

Aliases

arxiv: 2209.10953 · arxiv_version: 2209.10953v2 · doi: 10.48550/arxiv.2209.10953 · pith_short_12: 2IILWRNP7Y5S · pith_short_16: 2IILWRNP7Y5SJWG4 · pith_short_8: 2IILWRNP

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/2IILWRNP7Y5SJWG46TEW7U2BGA \
  | 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: d210bb45affe3b24d8dcf4c96fd3413016407e9b1ac183f7bee7a17b8c679a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21117565eb0305ac3629847def8943f950fb341128a3608801b05cc1c984733f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-09-22T12:13:15Z",
    "title_canon_sha256": "85e07a57bc1949853e64f2c6d966afff39cec00f61cd1337bcc5be7aa38ff1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.10953",
    "kind": "arxiv",
    "version": 2
  }
}