Pith Number

pith:ZVJBRE5N

pith:2026:ZVJBRE5NVOTTFJEYROTP2UVK6M

not attested not anchored not stored refs pending

Breaking the Dark Sector Degeneracy with Nonparametric Expansion--Growth Reconstruction

Changyu You, Rong-Gen Cai, Tao Yang

arxiv:2607.11813 v1 · 2026-07-13 · 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{ZVJBRE5NVOTTFJEYROTP2UVK6M}

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	2026-07-14T02:22:33.743698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd521893adaba732a4988ba6fd52aaf326992de817f84d8bd5d8e6b73dcd5b2c

Aliases

arxiv: 2607.11813 · arxiv_version: 2607.11813v1 · doi: 10.48550/arxiv.2607.11813 · pith_short_12: ZVJBRE5NVOTT · pith_short_16: ZVJBRE5NVOTTFJEY · pith_short_8: ZVJBRE5N

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/ZVJBRE5NVOTTFJEYROTP2UVK6M \
  | 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: cd521893adaba732a4988ba6fd52aaf326992de817f84d8bd5d8e6b73dcd5b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c769119e44ae8b772d2307b40842dbc5d8bc4bda123af52a4abf574193c5e9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-13T17:09:56Z",
    "title_canon_sha256": "2c17914655e45258e20444d6df2b9d3c33a4e0e39cbc1fb5a679294de5a8fce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11813",
    "kind": "arxiv",
    "version": 1
  }
}