Pith Number

pith:KU3UTDDJ

pith:2026:KU3UTDDJGEHANGUXAGDSUXLZKI

not attested not anchored not stored refs pending

Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes

Abdullah Guvendi, Behzad Eslam Panah, Omar Mustafa, Semra Gurtas Dogan

arxiv:2607.15827 v1 · 2026-07-17 · 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{KU3UTDDJGEHANGUXAGDSUXLZKI}

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	2026-07-20T01:19:12.323076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5537498c69310e069a9701872a5d795229d78119fb46094b234376c23425fb66

Aliases

arxiv: 2607.15827 · arxiv_version: 2607.15827v1 · doi: 10.48550/arxiv.2607.15827 · pith_short_12: KU3UTDDJGEHA · pith_short_16: KU3UTDDJGEHANGUX · pith_short_8: KU3UTDDJ

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/KU3UTDDJGEHANGUXAGDSUXLZKI \
  | 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: 5537498c69310e069a9701872a5d795229d78119fb46094b234376c23425fb66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542218ea6adfe037d7385b381f5851b1947cc5109637ace55fd36a21afdb03bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-17T10:38:21Z",
    "title_canon_sha256": "fb031cbdfa855d9706378c441f8efafe7c8fd0520ab7fb8a908464557d2d8d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15827",
    "kind": "arxiv",
    "version": 1
  }
}