Pith Number

pith:QFZVZTLK

pith:2025:QFZVZTLKDMAAM5E76RS372NDKY

not attested not anchored not stored refs pending

Black hole echos reflect the phase transition and fluctuations in Hawking radiation

Jin Wang, Tianqi Yue

arxiv:2510.23223 v2 · 2025-10-27 · 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{QFZVZTLKDMAAM5E76RS372NDKY}

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	2026-07-20T01:18:21.664357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81735ccd6a1b0006749ff465bfe9a3562b674f4c02e5fe5cd256f7590d317859

Aliases

arxiv: 2510.23223 · arxiv_version: 2510.23223v2 · doi: 10.48550/arxiv.2510.23223 · pith_short_12: QFZVZTLKDMAA · pith_short_16: QFZVZTLKDMAAM5E7 · pith_short_8: QFZVZTLK

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/QFZVZTLKDMAAM5E76RS372NDKY \
  | 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: 81735ccd6a1b0006749ff465bfe9a3562b674f4c02e5fe5cd256f7590d317859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed132853f9ad6ee17d03b6561914b9b5fb4ea1425abd83d5d24dc065df6287c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-10-27T11:20:33Z",
    "title_canon_sha256": "3a0efe1f2ea19fdc3857a876ec45676e7c8991a35e536a6e4bf236572888518b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.23223",
    "kind": "arxiv",
    "version": 2
  }
}