Pith Number

pith:3NPI6TE6

pith:2023:3NPI6TE6Q266TCRYPYMKMEYJV7

not attested not anchored not stored refs pending

Probing the black holes in a dark matter halo of M87 using gravitational wave echoes

Dong Liu, Yi Yang, Zheng-Wen Long

arxiv:2312.07074 v2 · 2023-12-12 · 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{3NPI6TE6Q266TCRYPYMKMEYJV7}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:01:27.747004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5e8f4c9e86bde98a387e18a61309aff380d98e8e40ff0a98dff2f81734ec01

Aliases

arxiv: 2312.07074 · arxiv_version: 2312.07074v2 · doi: 10.48550/arxiv.2312.07074 · pith_short_12: 3NPI6TE6Q266 · pith_short_16: 3NPI6TE6Q266TCRY · pith_short_8: 3NPI6TE6

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/3NPI6TE6Q266TCRYPYMKMEYJV7 \
  | 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: db5e8f4c9e86bde98a387e18a61309aff380d98e8e40ff0a98dff2f81734ec01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee04d31b6853b36534c31e7bc62ad73d8e67ba3d0dd034989befa54bd5ac6b7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-12-12T08:52:14Z",
    "title_canon_sha256": "4fdf845ec8c886afd0b37be50b1d879d638f0076a5d5e87f1fa1fa30f91dded1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07074",
    "kind": "arxiv",
    "version": 2
  }
}