Pith Number

pith:HS4IDVAC

pith:2025:HS4IDVACGBYCZFO7BOB2RSSQBE

not attested not anchored not stored refs pending

Weinberg's theorem, phantom crossing and screening

Philippe Brax

arxiv:2507.16723 v1 · 2025-07-22 · astro-ph.CO · gr-qc · 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{HS4IDVACGBYCZFO7BOB2RSSQBE}

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

Matter influence on large-scale scalar dynamics

Resolving the Planck-DESI tension by nonminimally coupled quintessence

Thawing Quintessence: Priors, evidence, and likely trajectories

Receipt and verification

First computed	2026-07-05T11:41:29.919460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb881d40230702c95df0b83a8ca50090b296bd203817b4078186e089ad30970

Aliases

arxiv: 2507.16723 · arxiv_version: 2507.16723v1 · doi: 10.48550/arxiv.2507.16723 · pith_short_12: HS4IDVACGBYC · pith_short_16: HS4IDVACGBYCZFO7 · pith_short_8: HS4IDVAC

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/HS4IDVACGBYCZFO7BOB2RSSQBE \
  | 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: 3cb881d40230702c95df0b83a8ca50090b296bd203817b4078186e089ad30970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e4ffc3128ab5fa5e83accb5d6710dde2c3fc58e6dc7314bef0cb06a118a44f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-22T16:03:07Z",
    "title_canon_sha256": "5681ec79423064f754d7d47409473331003041a935176fdff2beea367d681e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16723",
    "kind": "arxiv",
    "version": 1
  }
}