Pith Number

pith:SANOS546

pith:2025:SANOS546MJS33O6R7QDQU52N6N

not attested not anchored not stored refs pending

Exact vacuum solution with Hopf structure in general relativity

Junpei Harada

arxiv:2506.20878 v1 · 2025-06-25 · 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{SANOS546MJS33O6R7QDQU52N6N}

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

Ultrarelativistic limit of the Kerr theorem

Receipt and verification

First computed	2026-07-05T11:33:25.325398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901ae9779e6265bdbbd1fc070a774df344199e7001d7fd027a134dc99f1d5277

Aliases

arxiv: 2506.20878 · arxiv_version: 2506.20878v1 · doi: 10.48550/arxiv.2506.20878 · pith_short_12: SANOS546MJS3 · pith_short_16: SANOS546MJS33O6R · pith_short_8: SANOS546

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/SANOS546MJS33O6R7QDQU52N6N \
  | 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: 901ae9779e6265bdbbd1fc070a774df344199e7001d7fd027a134dc99f1d5277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a4e5c0fcc45ec3f099d965d52da4406a224f9d05fe139b90c0a6adf086c4092",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-25T22:59:45Z",
    "title_canon_sha256": "0130805235a2e92f4c77db8f6437afe468048ece0f03adf70fcdacf945232182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20878",
    "kind": "arxiv",
    "version": 1
  }
}