Pith Number

pith:34MVZU5O

pith:2026:34MVZU5OU6BEQZV3GCQCDYFRFT

not attested not anchored not stored refs pending

Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity

A. A. Ara\'ujo Filho, Ali \"Ovg\"un, Amilcar R. Queiroz, E. Passos, F. A. Brito, Hassan Hassanabadi, K. E. L. de Farias, V. B. Bezerra

arxiv:2601.07102 v2 · 2026-01-12 · 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{34MVZU5OU6BEQZV3GCQCDYFRFT}

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

Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality

Receipt and verification

First computed	2026-07-03T01:17:16.328614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df195cd3aea7824866bb30a021e0b12cd99a894791bc8a461059eb38fd838165

Aliases

arxiv: 2601.07102 · arxiv_version: 2601.07102v2 · doi: 10.48550/arxiv.2601.07102 · pith_short_12: 34MVZU5OU6BE · pith_short_16: 34MVZU5OU6BEQZV3 · pith_short_8: 34MVZU5O

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/34MVZU5OU6BEQZV3GCQCDYFRFT \
  | 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: df195cd3aea7824866bb30a021e0b12cd99a894791bc8a461059eb38fd838165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c7697475abec19d2e4a693fc3f025bba46c84560e07eb0fa1dcdd9e11c44df",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-01-12T00:02:02Z",
    "title_canon_sha256": "9666ff0fdc556e62a4fea494b90abd283241a8108489530272658d0f1a8e5831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.07102",
    "kind": "arxiv",
    "version": 2
  }
}