Pith Number

pith:JZ6A6NP2

pith:2021:JZ6A6NP2IH67I4CBDMYWS3ZGIV

not attested not anchored not stored refs pending

On an alternative mechanism for the black hole echoes

Bin Wang, Hang Liu, Jian-Pin Wu, Rui-Hong Yue, Wei-Liang Qian, Yunqi Liu

arxiv:2104.11912 v4 · 2021-04-24 · 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{JZ6A6NP2IH67I4CBDMYWS3ZGIV}

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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

5 papers in Pith

Sensitivity of black hole spectral instability to ultraviolet perturbations

Ringdown Signatures of Dehnen Dark Matter Halos: Fluid Modes and Detectability with Space-Based Detectors

A metric solution for rotating black holes embedded in dark matter halos with central spikes

Reflectionless and echo modes in asymmetric Damour-Solodukhin wormholes

Sensitivity of black hole spectral instability to ultraviolet perturbations

Receipt and verification

First computed	2026-07-05T03:04:51.266950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7c0f35fa41fdf470411b31696f2645772aa1f612895535681b728091d794a6

Aliases

arxiv: 2104.11912 · arxiv_version: 2104.11912v4 · doi: 10.48550/arxiv.2104.11912 · pith_short_12: JZ6A6NP2IH67 · pith_short_16: JZ6A6NP2IH67I4CB · pith_short_8: JZ6A6NP2

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/JZ6A6NP2IH67I4CBDMYWS3ZGIV \
  | 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: 4e7c0f35fa41fdf470411b31696f2645772aa1f612895535681b728091d794a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb8bf3f627841038b4fda3d07ab71dee0053366dfc07a52a8423e08aff9fa4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-24T09:04:13Z",
    "title_canon_sha256": "1333038586a534d611679d2ef4608c4975e727b2fbe298aad2074450cfc9eca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.11912",
    "kind": "arxiv",
    "version": 4
  }
}