Pith Number

pith:Z5CNHTWX

pith:2025:Z5CNHTWXQEUNKBY7DF36YK2XDX

not attested not anchored not stored refs pending

Vacuum Homogeneous and Nonhomogeneous Metrics with Conventional and Quantized Metric Tensor: Singular or Nonsingular Solution

A. Tawfik (Egyptian Ctr. Theor. Phys., Cairo, Future U. in Egypt), M. Hanafy (Benha U.), S. G. Elgendi (Islamic U. in Madinah)

arxiv:2506.08254 v1 · 2025-06-09 · 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{Z5CNHTWXQEUNKBY7DF36YK2XDX}

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

Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime

Receipt and verification

First computed	2026-07-05T11:18:47.025741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf44d3ced78128d5071f1977ec2b571dd88500a034309247c0bdca1238c77f55

Aliases

arxiv: 2506.08254 · arxiv_version: 2506.08254v1 · doi: 10.48550/arxiv.2506.08254 · pith_short_12: Z5CNHTWXQEUN · pith_short_16: Z5CNHTWXQEUNKBY7 · pith_short_8: Z5CNHTWX

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/Z5CNHTWXQEUNKBY7DF36YK2XDX \
  | 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: cf44d3ced78128d5071f1977ec2b571dd88500a034309247c0bdca1238c77f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ce8687b2782f3d5ac3910ab69d5e07dd44ca8016110d8a37e07234779b1a64",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-09T21:42:51Z",
    "title_canon_sha256": "3d4ed4b45168c1cee66f8047e398f5c118da0fc8be907e638e50f768e11a3edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08254",
    "kind": "arxiv",
    "version": 1
  }
}