Pith Number

pith:JGXDU73Z

pith:2026:JGXDU73ZOVX3FFNOFCOZJFP6ZG

not attested not anchored not stored refs pending

$\Lambda$XCDM: a running vacuum strategy for crossing the phantom divide

Adri\`a G\'omez-Valent, Alex Gonz\'alez-Fuentes, Joan Sol\`a Peracaula

arxiv:2607.26050 v1 · 2026-07-28 · astro-ph.CO · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGXDU73ZOVX3FFNOFCOZJFP6ZG}

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	2026-07-29T01:26:21.575076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ae3a7f79756fb295ae289d9495fec9a1de9ac07e0b9e7f2c706a213d86e994

Aliases

arxiv: 2607.26050 · arxiv_version: 2607.26050v1 · doi: 10.48550/arxiv.2607.26050 · pith_short_12: JGXDU73ZOVX3 · pith_short_16: JGXDU73ZOVX3FFNO · pith_short_8: JGXDU73Z

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/JGXDU73ZOVX3FFNOFCOZJFP6ZG \
  | 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: 49ae3a7f79756fb295ae289d9495fec9a1de9ac07e0b9e7f2c706a213d86e994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d1a18dc15cd9e413ec580fb2cb2ef2e362d9cde425a49229b2fb6620067c5fd",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-28T17:58:23Z",
    "title_canon_sha256": "07e21c7b4d49ef424a07ee40fdaeaead5e50214a02fe1d3c101af757dc9536e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26050",
    "kind": "arxiv",
    "version": 1
  }
}