Pith Number

pith:PWXMKS2T

pith:2024:PWXMKS2TEK2FI6JWDPXOAILQ4F

not attested not anchored not stored refs pending

Phantom hairy black holes and wormholes in Einstein-bumblebee gravity

Changqing Liu, Chikun Ding, Jun Chen, Yuehua Xiao

arxiv:2407.16916 v2 · 2024-07-24 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWXMKS2TEK2FI6JWDPXOAILQ4F}

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

Primordial black hole in Lorentz-violating theories: Insights from Bumblebee gravity

Receipt and verification

First computed	2026-07-05T10:05:11.778716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7daec54b5322b45479361beee02170e157bad010f7282374f1cc128d409cc9d9

Aliases

arxiv: 2407.16916 · arxiv_version: 2407.16916v2 · doi: 10.48550/arxiv.2407.16916 · pith_short_12: PWXMKS2TEK2F · pith_short_16: PWXMKS2TEK2FI6JW · pith_short_8: PWXMKS2T

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/PWXMKS2TEK2FI6JWDPXOAILQ4F \
  | 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: 7daec54b5322b45479361beee02170e157bad010f7282374f1cc128d409cc9d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c70664ef4bab0323df23d44cc0e79b7c22e22d2507077dbaa89cb132ca9be7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-07-24T00:27:08Z",
    "title_canon_sha256": "793675d5d3dc2206275e67bc17a9b1996ccbaa6549bd34c7bb48ad97fb1997ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.16916",
    "kind": "arxiv",
    "version": 2
  }
}