Pith Number

pith:DZOM75Z3

pith:2004:DZOM75Z3MHK4I47CLJJEXN3MFF

not attested not anchored not stored refs pending

Smarr's formula for black holes with non-linear electrodynamics

Nora Breton

arxiv:gr-qc/0405116 v1 · 2004-05-21 · 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{DZOM75Z3MHK4I47CLJJEXN3MFF}

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	2026-05-18T04:17:52.829137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e5ccff73b61d5c473e25a524bb76c294d76407fa07b420c684b8f41617ba893

Aliases

arxiv: gr-qc/0405116 · arxiv_version: gr-qc/0405116v1 · doi: 10.48550/arxiv.gr-qc/0405116 · pith_short_12: DZOM75Z3MHK4 · pith_short_16: DZOM75Z3MHK4I47C · pith_short_8: DZOM75Z3

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/DZOM75Z3MHK4I47CLJJEXN3MFF \
  | 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: 1e5ccff73b61d5c473e25a524bb76c294d76407fa07b420c684b8f41617ba893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd2223a27207c85481e44f5859755d222dbd01b3064447d8ac26c30f5588988",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-05-21T17:53:34Z",
    "title_canon_sha256": "658f932d3fe2863664fec39b40ceb8a58c5337ed25e079c76362ab7c64769db6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0405116",
    "kind": "arxiv",
    "version": 1
  }
}