Pith Number

pith:QPGXVZVF

pith:2021:QPGXVZVFG37YA2KWVHBDQITMCM

not attested not anchored not stored refs pending

Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics

Changjun Gao

arxiv:2106.13486 v3 · 2021-06-25 · 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{QPGXVZVFG37YA2KWVHBDQITMCM}

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

3 papers in Pith

Black holes and causal nonlinear electrodynamics

Topologically equivalent yet radiatively distinct orbits in EMRI system

Taming the Aretakis instability: extremal black holes with multi-degenerate horizons

Receipt and verification

First computed	2026-07-05T03:14:56.118784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83cd7ae6a536ff806956a9c238226c133ba222e58c81a38547bb9d99df521a43

Aliases

arxiv: 2106.13486 · arxiv_version: 2106.13486v3 · doi: 10.48550/arxiv.2106.13486 · pith_short_12: QPGXVZVFG37Y · pith_short_16: QPGXVZVFG37YA2KW · pith_short_8: QPGXVZVF

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/QPGXVZVFG37YA2KWVHBDQITMCM \
  | 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: 83cd7ae6a536ff806956a9c238226c133ba222e58c81a38547bb9d99df521a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0cda2796b6fb46e9312192f607198f0904855389c4ae5f5eed8d34bab9df0ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-25T07:59:11Z",
    "title_canon_sha256": "5f03417c129f67fc38b50e4b555423041e99b15f723900bf7d9a0b9d0877cddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.13486",
    "kind": "arxiv",
    "version": 3
  }
}