Pith Number

pith:NJQPLLRU

pith:1997:NJQPLLRU6GUTZP7CELPH2NH2WM

not attested not anchored not stored refs pending

Spherical Black Holes cannot Support Scalar Hair

D. Sudarsky, T. Zannias

arxiv:gr-qc/9712083 v1 · 1997-12-19 · 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{NJQPLLRU6GUTZP7CELPH2NH2WM}

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

(Super-)renormalizable hairy meronic black holes

Receipt and verification

First computed	2026-05-18T04:35:33.921328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a60f5ae34f1a93cbfe222de7d34fab3268dc63e6a864ded454c102407324192

Aliases

arxiv: gr-qc/9712083 · arxiv_version: gr-qc/9712083v1 · doi: 10.48550/arxiv.gr-qc/9712083 · pith_short_12: NJQPLLRU6GUT · pith_short_16: NJQPLLRU6GUTZP7C · pith_short_8: NJQPLLRU

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/NJQPLLRU6GUTZP7CELPH2NH2WM \
  | 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: 6a60f5ae34f1a93cbfe222de7d34fab3268dc63e6a864ded454c102407324192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f4181d83d39c41fc19a753390e221377962edb37ef5ad3f801a6c6f119e148",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-19T23:13:31Z",
    "title_canon_sha256": "bdc3dd56d98ce41905971736adaddb08123812ac94e5015fef135d53a3b95040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712083",
    "kind": "arxiv",
    "version": 1
  }
}