Pith Number

pith:633HMERI

pith:2025:633HMERIOU4XYS7K3OUY7BTWEM

not attested not anchored not stored refs pending

Critical phenomenon inside asymptotically flat black holes with spontaneous scalarization

Fu-Guo Yang, Li Li, Ze Sun

arxiv:2512.19377 v2 · 2025-12-22 · 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{633HMERIOU4XYS7K3OUY7BTWEM}

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.

Cited by

1 paper in Pith

Optical Appearance of Scalarized Kerr-Newman Black Holes with Multiple Light Rings

Receipt and verification

First computed	2026-05-25T02:01:11.228815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f676122875397c4beadba98f8676232187ef273d67ced47bc10d45e0fe032a

Aliases

arxiv: 2512.19377 · arxiv_version: 2512.19377v2 · doi: 10.48550/arxiv.2512.19377 · pith_short_12: 633HMERIOU4X · pith_short_16: 633HMERIOU4XYS7K · pith_short_8: 633HMERI

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/633HMERIOU4XYS7K3OUY7BTWEM \
  | 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: f6f676122875397c4beadba98f8676232187ef273d67ced47bc10d45e0fe032a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9448ab6dcda81612a74782005618f2db9f9a4e7703a207795c134471ddb81a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-22T13:23:11Z",
    "title_canon_sha256": "d31610dfaf2983c98df199a4965d79e34f4a5071c82869e3ff4d282fcbef2e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19377",
    "kind": "arxiv",
    "version": 2
  }
}