Pith Number

pith:ZAMFT3GY

pith:2005:ZAMFT3GYSURD4YD6MSDJLKVRSO

not attested not anchored not stored refs pending

The flight of the bumblebee: vacuum solutions of a gravity model with vector-induced spontaneous Lorentz symmetry breaking

J. Paramos, O. Bertolami

arxiv:hep-th/0504215 v1 · 2005-04-27 · 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{ZAMFT3GYSURD4YD6MSDJLKVRSO}

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

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

Stationary scalar clouds around a rotating Kalb-Ramond BTZ black hole

Complex bumblebee model

Receipt and verification

First computed	2026-07-04T16:56:09.929828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81859ecd895223e607e648695aab1939e625cd5dd24ed3a37656beeeb176684

Aliases

arxiv: hep-th/0504215 · arxiv_version: hep-th/0504215v1 · doi: 10.48550/arxiv.hep-th/0504215 · pith_short_12: ZAMFT3GYSURD · pith_short_16: ZAMFT3GYSURD4YD6 · pith_short_8: ZAMFT3GY

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/ZAMFT3GYSURD4YD6MSDJLKVRSO \
  | 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: c81859ecd895223e607e648695aab1939e625cd5dd24ed3a37656beeeb176684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e04d21ad181bcc6abc4b296ae033942b7deb50ee6c031a4659db2ef483adb8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-04-27T03:37:49Z",
    "title_canon_sha256": "0e3eec89b599825b95ac0bb88f6ea91cbcdd94d8a5bbd4a4fb40fa0de1261aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0504215",
    "kind": "arxiv",
    "version": 1
  }
}