Pith Number

pith:WFH2642D

pith:2021:WFH2642D2T7C7GSFDAJR26T5PG

not attested not anchored not stored refs pending

On black holes with scalar hairs

Changjun Gao, Jianhui Qiu

arxiv:2111.11582 v2 · 2021-11-22 · 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{WFH2642D2T7C7GSFDAJR26T5PG}

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

3 papers in Pith

Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential

Gravitational Properties of the Monopole Bag

Receipt and verification

First computed	2026-07-05T05:23:56.405477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14faf7343d4fe2f9a4518131d7a7d799dc29a51784eee93aec786208efc7845

Aliases

arxiv: 2111.11582 · arxiv_version: 2111.11582v2 · doi: 10.48550/arxiv.2111.11582 · pith_short_12: WFH2642D2T7C · pith_short_16: WFH2642D2T7C7GSF · pith_short_8: WFH2642D

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/WFH2642D2T7C7GSFDAJR26T5PG \
  | 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: b14faf7343d4fe2f9a4518131d7a7d799dc29a51784eee93aec786208efc7845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4376418cc7f09fde7d98d2fe3bbdcc8254e6c31f1c7a08298790505bb194146e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-22T23:53:25Z",
    "title_canon_sha256": "d7dae162323889a0e04b7fe0e2b8225cf9e1c961cf2c5e3fc6aa18c699e65db0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11582",
    "kind": "arxiv",
    "version": 2
  }
}