Pith Number

pith:2GR5BZVL

pith:2022:2GR5BZVLIYHCM5TW5CWLGEELSV

not attested not anchored not stored refs pending

Spontaneous Lorentz symmetry breaking and one-loop effective action in the metric-affine bumblebee gravity

Adri\`a Delhom, A. Yu. Petrov, Gonzalo J. Olmo, J. R. Nascimento, P. J. Porfirio, T. Mariz

arxiv:2202.11613 v3 · 2022-02-23 · 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{2GR5BZVLIYHCM5TW5CWLGEELSV}

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	2026-07-05T04:39:30.782909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a3d0e6ab460e267676e8acb3108b956a85a8a04edfca8189256d48ec12dcc1

Aliases

arxiv: 2202.11613 · arxiv_version: 2202.11613v3 · doi: 10.48550/arxiv.2202.11613 · pith_short_12: 2GR5BZVLIYHC · pith_short_16: 2GR5BZVLIYHCM5TW · pith_short_8: 2GR5BZVL

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/2GR5BZVLIYHCM5TW5CWLGEELSV \
  | 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: d1a3d0e6ab460e267676e8acb3108b956a85a8a04edfca8189256d48ec12dcc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ead9ed218dc8d3560486d02abb4c7965ae1151da5cb309e7a68592ea197625",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-02-23T16:49:52Z",
    "title_canon_sha256": "97144ffe6dd67fbda2108e44722ee059d5517d5a73483e4107e9392d59014b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.11613",
    "kind": "arxiv",
    "version": 3
  }
}