Pith Number

pith:Q5MDLYT3

pith:2026:Q5MDLYT3UDNV5DYYLUDOUVGIVS

not attested not anchored not stored refs pending

Quasinormal modes response to thermodynamic phase transitions in the charged AdS black hole surrounded by perfect fluid dark matter

Long-Xiang Li, Zhong-Wen Feng

arxiv:2608.01200 v1 · 2026-08-02 · 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{Q5MDLYT3UDNV5DYYLUDOUVGIVS}

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	2026-08-04T02:01:55.378508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875835e27ba0db5e8f185d06ea54c8acaa64fe415275025c42d6f6372e0b1b22

Aliases

arxiv: 2608.01200 · arxiv_version: 2608.01200v1 · doi: 10.48550/arxiv.2608.01200 · pith_short_12: Q5MDLYT3UDNV · pith_short_16: Q5MDLYT3UDNV5DYY · pith_short_8: Q5MDLYT3

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/Q5MDLYT3UDNV5DYYLUDOUVGIVS \
  | 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: 875835e27ba0db5e8f185d06ea54c8acaa64fe415275025c42d6f6372e0b1b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061e40998039f996b60a24d04ad184aca03f28a01646af5738254e4e8a165f46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-02T12:31:24Z",
    "title_canon_sha256": "f46fd5654c305cea28ab7e4293b74c4c92a3f316e119b5e2b32f9521ac2a6281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01200",
    "kind": "arxiv",
    "version": 1
  }
}