Pith Number

pith:7HOZI57C

pith:2025:7HOZI57CKUHUDEV2W5F64XJMD4

not attested not anchored not stored refs pending

Internal structure of Hayward black holes

Caiying Shao, Hongbao Zhang, Jun-Qi Guo, Yu Tian

arxiv:2511.23165 v2 · 2025-11-28 · 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{7HOZI57CKUHUDEV2W5F64XJMD4}

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	2026-06-19T16:09:52.505929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9dd9477e2550f4192bab74bee5d2c1f2fbcf04c8d13ec5e01fee4f0393fab31

Aliases

arxiv: 2511.23165 · arxiv_version: 2511.23165v2 · doi: 10.48550/arxiv.2511.23165 · pith_short_12: 7HOZI57CKUHU · pith_short_16: 7HOZI57CKUHUDEV2 · pith_short_8: 7HOZI57C

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/7HOZI57CKUHUDEV2W5F64XJMD4 \
  | 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: f9dd9477e2550f4192bab74bee5d2c1f2fbcf04c8d13ec5e01fee4f0393fab31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "551a7481e74509ce6e99cc1e6a0c1799560b920eec6923ffee8a5a5fbb0b9ef7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-28T13:20:35Z",
    "title_canon_sha256": "b04875fc4afad69f968c56efdf2da9cccdd1adcbe6a0b3d102f8af2a4a6be8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.23165",
    "kind": "arxiv",
    "version": 2
  }
}