Pith Number

pith:7H2I7GTY

pith:2022:7H2I7GTYMWQRR75V2VAEGXORSU

not attested not anchored not stored refs pending

Splitting the Echoes of Black Holes in Einstein-nonlinear Electrodynamic Theories

Aofei Sang, Jie Jiang, Ming Zhang, Shao-Wen Wei

arxiv:2209.02559 v2 · 2022-09-06 · 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{7H2I7GTYMWQRR75V2VAEGXORSU}

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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

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Receipt and verification

First computed	2026-07-05T06:01:59.223362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f48f9a7865a118ffb5d540435dd1952ca0fe795e5dfcb0347ae461c3973017

Aliases

arxiv: 2209.02559 · arxiv_version: 2209.02559v2 · doi: 10.48550/arxiv.2209.02559 · pith_short_12: 7H2I7GTYMWQR · pith_short_16: 7H2I7GTYMWQRR75V · pith_short_8: 7H2I7GTY

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/7H2I7GTYMWQRR75V2VAEGXORSU \
  | 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: f9f48f9a7865a118ffb5d540435dd1952ca0fe795e5dfcb0347ae461c3973017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07cbd73a0b22b9ae83b06b207fba233930539e5d162a4764e20358a394d490f8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-09-06T15:11:01Z",
    "title_canon_sha256": "36a7910059dcc119327ab415b03560dc21bf63a3fc621c5ae349533e1081815a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.02559",
    "kind": "arxiv",
    "version": 2
  }
}