Pith Number

pith:F6Y6QHFY

pith:2023:F6Y6QHFYKZOHPT3VAFRKRSTVZB

not attested not anchored not stored refs pending

Topologically modified Einstein equation: a solution with singularities on $\mathbb{S}^3$

\'Aron Szab\'o, Pierre Mourier, Quentin Vigneron

arxiv:2311.06927 v4 · 2023-11-12 · 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{F6Y6QHFYKZOHPT3VAFRKRSTVZB}

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	2026-07-05T09:01:26.977249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb1e81cb8565c77cf750162a8ca75c86fbb39158a841b4bac9013fe876bb60e

Aliases

arxiv: 2311.06927 · arxiv_version: 2311.06927v4 · doi: 10.48550/arxiv.2311.06927 · pith_short_12: F6Y6QHFYKZOH · pith_short_16: F6Y6QHFYKZOHPT3V · pith_short_8: F6Y6QHFY

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/F6Y6QHFYKZOHPT3VAFRKRSTVZB \
  | 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: 2fb1e81cb8565c77cf750162a8ca75c86fbb39158a841b4bac9013fe876bb60e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2b7a4cf8e6aed43e85e32b1f29bdf589d9096c43f537d81f0fdcd2f7ec1304",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-11-12T18:56:58Z",
    "title_canon_sha256": "a2263270bdd2f814030005060441c40059052b9bd15e65c89d67bf402571426f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.06927",
    "kind": "arxiv",
    "version": 4
  }
}