Pith Number

pith:7MYYMZ3D

pith:2025:7MYYMZ3DDY3Y6B5SEMUNQUDJAF

not attested not anchored not stored refs pending

The fundamental physical importance of generic off-diagonal solutions and Grigori Perelman entropy in the Einstein gravity theory

El\c{s}en V. Veliev, Sergiu I. Vacaru

arxiv:2508.10939 v1 · 2025-08-13 · 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{7MYYMZ3DDY3Y6B5SEMUNQUDJAF}

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

Off-diagonal solutions in Einsteingravity modeling f(R) gravity and dynamical darkenergy vs Lambda CDM cosmology

Receipt and verification

First computed	2026-07-05T11:54:15.714337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb318667631e378f07b22328d85069017ac443801c4cd7d48051a2a552715f2b

Aliases

arxiv: 2508.10939 · arxiv_version: 2508.10939v1 · doi: 10.48550/arxiv.2508.10939 · pith_short_12: 7MYYMZ3DDY3Y · pith_short_16: 7MYYMZ3DDY3Y6B5S · pith_short_8: 7MYYMZ3D

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/7MYYMZ3DDY3Y6B5SEMUNQUDJAF \
  | 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: fb318667631e378f07b22328d85069017ac443801c4cd7d48051a2a552715f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802835983405b1b48df82c2e3c6bec68a013ed5ee99f4594685d857f7ace828b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-13T07:29:05Z",
    "title_canon_sha256": "fce2fa0705903026f03bfe9a6c899b35c9e1598b4c9af76c6f79f7023161536d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10939",
    "kind": "arxiv",
    "version": 1
  }
}