Pith Number

pith:VZ7OUINS

pith:2025:VZ7OUINS3ZDBDUELVTQMZU3Y4H

not attested not anchored not stored refs pending

On the cosmological degrees of freedom of Proca field with non-minimal coupling to gravity

Anamaria Hell, Antonio De Felice

arxiv:2503.07454 v2 · 2025-03-10 · 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{VZ7OUINS3ZDBDUELVTQMZU3Y4H}

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

Wick-connected theories and Lorentz violation

Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields

Tachyonic gravitational dark matter production after inflation

Receipt and verification

First computed	2026-07-05T11:08:40.613107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae7eea21b2de4611d08bace0ccd378e1c00169f9f88e849ac35bb0bd55c41b5f

Aliases

arxiv: 2503.07454 · arxiv_version: 2503.07454v2 · doi: 10.48550/arxiv.2503.07454 · pith_short_12: VZ7OUINS3ZDB · pith_short_16: VZ7OUINS3ZDBDUEL · pith_short_8: VZ7OUINS

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/VZ7OUINS3ZDBDUELVTQMZU3Y4H \
  | 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: ae7eea21b2de4611d08bace0ccd378e1c00169f9f88e849ac35bb0bd55c41b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f610351d10e2b7c39f46d58580eccc1aeccf259ed7285a6884701cfedc87b040",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-03-10T15:36:08Z",
    "title_canon_sha256": "20ba22b578e11bc4f889e581cb00424314a40045ae5e6400c0315df16a73fd55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07454",
    "kind": "arxiv",
    "version": 2
  }
}