Pith Number

pith:HNN7NZ2K

pith:2025:HNN7NZ2KRNHX7RHF7K4TFYMHEO

not attested not anchored not stored refs pending

Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm

Arthur Garnier, Emmanuele Battista

arxiv:2502.10053 v1 · 2025-02-14 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNN7NZ2KRNHX7RHF7K4TFYMHEO}

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

2 papers in Pith

Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes

Energy conditions in static, spherically symmetric spacetimes and effective geometries

Receipt and verification

First computed	2026-07-05T10:22:56.900494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b5bf6e74a8b4f7fc4e5fab932e187239a68de045516a79a6bbcbada0b6d9ad2

Aliases

arxiv: 2502.10053 · arxiv_version: 2502.10053v1 · doi: 10.48550/arxiv.2502.10053 · pith_short_12: HNN7NZ2KRNHX · pith_short_16: HNN7NZ2KRNHX7RHF · pith_short_8: HNN7NZ2K

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/HNN7NZ2KRNHX7RHF7K4TFYMHEO \
  | 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: 3b5bf6e74a8b4f7fc4e5fab932e187239a68de045516a79a6bbcbada0b6d9ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef7d237b0bffe95de713a7dc11e5fbc9df7b3c13e59083223010bbafbb7857ad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-14T10:01:22Z",
    "title_canon_sha256": "8ba42a64f789e47db737977c9e5631c4a1335df6ca045ad10bf98a217ca95f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10053",
    "kind": "arxiv",
    "version": 1
  }
}