Pith Number

pith:M6Q54IXN

pith:2025:M6Q54IXNNVOVQC37M4C3TBYDP7

not attested not anchored not stored refs pending

Comment on "Dynamical Dark Energy at Late Time $\Lambda$CDM"

James M. Cline

arxiv:2507.21278 v1 · 2025-07-28 · astro-ph.CO · 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{M6Q54IXNNVOVQC37M4C3TBYDP7}

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	2026-07-05T11:44:56.201521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a1de22ed6d5d580b7f6705b987037ff8fbb7476e066f7d178f614fe4935104

Aliases

arxiv: 2507.21278 · arxiv_version: 2507.21278v1 · doi: 10.48550/arxiv.2507.21278 · pith_short_12: M6Q54IXNNVOV · pith_short_16: M6Q54IXNNVOVQC37 · pith_short_8: M6Q54IXN

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/M6Q54IXNNVOVQC37M4C3TBYDP7 \
  | 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: 67a1de22ed6d5d580b7f6705b987037ff8fbb7476e066f7d178f614fe4935104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7b5df462a4a818843a77aec702f43b863b86236f3071780533d0a194b907f21",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-28T19:04:27Z",
    "title_canon_sha256": "bcfdf01ffecd6e7f276541e871ff9f1e91b84c0df86ec1d959996c4bfc84b80a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21278",
    "kind": "arxiv",
    "version": 1
  }
}