Pith Number

pith:WUXRRDK3

pith:2026:WUXRRDK3QTCPSNUMLOW4K2XXQ3

not attested not anchored not stored refs pending

Running Vacuum in the expanding Universe: a unified QFT paradigm for Inflation and Dark Energy

Joan Sol\`a Peracaula

arxiv:2606.05352 v1 · 2026-06-03 · gr-qc · astro-ph.CO · hep-ph · 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{WUXRRDK3QTCPSNUMLOW4K2XXQ3}

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	2026-06-05T00:13:55.032726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52f188d5b84c4f9368c5badc56af786e8196222820ba26dbb20413e5048cf0c

Aliases

arxiv: 2606.05352 · arxiv_version: 2606.05352v1 · doi: 10.48550/arxiv.2606.05352 · pith_short_12: WUXRRDK3QTCP · pith_short_16: WUXRRDK3QTCPSNUM · pith_short_8: WUXRRDK3

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/WUXRRDK3QTCPSNUMLOW4K2XXQ3 \
  | 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: b52f188d5b84c4f9368c5badc56af786e8196222820ba26dbb20413e5048cf0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e85751b262ef180269c0b91d817ce212a0c11819cad74c7cd7f355178098565",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-03T18:55:18Z",
    "title_canon_sha256": "40b4ee93661ed6336fa8726bf4959386b73ce025201d4512562d39e7001a3b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05352",
    "kind": "arxiv",
    "version": 1
  }
}