Pith Number

pith:DLMJFVT4

pith:2025:DLMJFVT4MZCKWH6XHXO7R4NQTO

not attested not anchored not stored refs pending

Lorentzian homogeneous Ricci-flat metrics on almost abelian Lie groups

Takanao Tsuyuki, Yuichiro Sato

arxiv:2504.11077 v4 · 2025-04-15 · math.DG · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLMJFVT4MZCKWH6XHXO7R4NQTO}

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	2026-07-16T01:22:25.207520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad892d67c6644ab1fd73dddf8f1b09b9d85302383401f653ec72859478bbaa8

Aliases

arxiv: 2504.11077 · arxiv_version: 2504.11077v4 · doi: 10.48550/arxiv.2504.11077 · pith_short_12: DLMJFVT4MZCK · pith_short_16: DLMJFVT4MZCKWH6X · pith_short_8: DLMJFVT4

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/DLMJFVT4MZCKWH6XHXO7R4NQTO \
  | 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: 1ad892d67c6644ab1fd73dddf8f1b09b9d85302383401f653ec72859478bbaa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9e5f1c01e15388b7fe0615ae81487fece6ce03b55a2f1fa8cf3c3f625c7100",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-15T11:21:39Z",
    "title_canon_sha256": "2e44a69eaf84d49ae7d6c11d93d49985fb7496d388006278263aa29288c797d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11077",
    "kind": "arxiv",
    "version": 4
  }
}