Pith Number

pith:NQ4PMCMA

pith:2026:NQ4PMCMAWNJCE2MLXMGXGLI35N

not attested not anchored not stored refs pending

Quasi-normal modes as probes of black hole reentrant phase transitions

D. Afshar, M. Kord Zangeneh, S. Abdollahi

arxiv:2606.29101 v1 · 2026-06-27 · 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{NQ4PMCMAWNJCE2MLXMGXGLI35N}

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	2026-06-30T01:17:52.934287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c38f60980b35222698bbb0d732d1beb4542c015044d37c9a3fe62eea63ec0d1

Aliases

arxiv: 2606.29101 · arxiv_version: 2606.29101v1 · doi: 10.48550/arxiv.2606.29101 · pith_short_12: NQ4PMCMAWNJC · pith_short_16: NQ4PMCMAWNJCE2ML · pith_short_8: NQ4PMCMA

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/NQ4PMCMAWNJCE2MLXMGXGLI35N \
  | 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: 6c38f60980b35222698bbb0d732d1beb4542c015044d37c9a3fe62eea63ec0d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5ab580d519005305829e00a3f0b7b99761b1664cfc784b331359e0a28e9aa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-27T22:30:36Z",
    "title_canon_sha256": "5278b437dfd45ea73ddd4e7bf16116a4a2c832dc6218c330a23752b08b6929fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29101",
    "kind": "arxiv",
    "version": 1
  }
}