Pith Number

pith:RPPS5TKR

pith:2025:RPPS5TKREBSMA7KQCKM6RN7KXH

not attested not anchored not stored refs pending

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordstr\"om Black Hole

Elena Giorgi, Marios A. Apetroaie, Sam C. Collingbourne

arxiv:2506.04812 v1 · 2025-06-05 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPPS5TKREBSMA7KQCKM6RN7KXH}

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	2026-07-05T11:16:37.105973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bdf2ecd512064c07d501299e8b7eab9fd1acbb9121aa32a85eceb9d400ad7e1

Aliases

arxiv: 2506.04812 · arxiv_version: 2506.04812v1 · doi: 10.48550/arxiv.2506.04812 · pith_short_12: RPPS5TKREBSM · pith_short_16: RPPS5TKREBSMA7KQ · pith_short_8: RPPS5TKR

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/RPPS5TKREBSMA7KQCKM6RN7KXH \
  | 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: 8bdf2ecd512064c07d501299e8b7eab9fd1acbb9121aa32a85eceb9d400ad7e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdea088d8a4f831e6da7a7e5321aefe71fb76a3ed58d6716c2c695ca2e5263f2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-05T09:35:00Z",
    "title_canon_sha256": "3b2190d2e03b9348b6db1771929b5aedc102e05a81e6638d6ff8add73999e069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04812",
    "kind": "arxiv",
    "version": 1
  }
}