Pith Number

pith:W6XP63GD

pith:2025:W6XP63GDLNRRYUPZWSHINYNECM

not attested not anchored not stored refs pending

Quasinormal modes and absorption cross-section of a Bardeen black hole surrounded by perfect fluid dark matter in four dimensions

\'Angel Rinc\'on, Grigoris Panotopoulos, Leonardo Balart, Sharmanthie Fernando

arxiv:2504.05215 v2 · 2025-04-07 · gr-qc · astro-ph.SR · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6XP63GDLNRRYUPZWSHINYNECM}

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	2026-07-05T11:28:35.709255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7aeff6cc35b631c51f9b48e86e1a41307b8d7da2988efc7874200fa75bb79c0

Aliases

arxiv: 2504.05215 · arxiv_version: 2504.05215v2 · doi: 10.48550/arxiv.2504.05215 · pith_short_12: W6XP63GDLNRR · pith_short_16: W6XP63GDLNRRYUPZ · pith_short_8: W6XP63GD

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/W6XP63GDLNRRYUPZWSHINYNECM \
  | 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: b7aeff6cc35b631c51f9b48e86e1a41307b8d7da2988efc7874200fa75bb79c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416845aeb3ace2d5457a2e680f423b72a76fe7ce01e921d57b0abf6130274a72",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-04-07T16:02:22Z",
    "title_canon_sha256": "2e6cbf8c3365b0f4cefcbaa0ea9f12d53973b81cbdb86674903cfc5c594d6e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05215",
    "kind": "arxiv",
    "version": 2
  }
}