Pith Number

pith:3HNQJYEY

pith:2026:3HNQJYEYB5NAN7PYZDSERAVLB5

not attested not anchored not stored refs pending

Damped Harmonic Oscillator Dark Energy and the Hubble Tension

Qiang Wu, Saddam Hussain, Simran Arora, Tao Zhu

arxiv:2606.17550 v1 · 2026-06-16 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HNQJYEYB5NAN7PYZDSERAVLB5}

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	2026-06-19T16:10:15.773670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9db04e0980f5a06fdf8c8e44882ab0f5176950a0328944397402ad9153ede7d

Aliases

arxiv: 2606.17550 · arxiv_version: 2606.17550v1 · doi: 10.48550/arxiv.2606.17550 · pith_short_12: 3HNQJYEYB5NA · pith_short_16: 3HNQJYEYB5NAN7PY · pith_short_8: 3HNQJYEY

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/3HNQJYEYB5NAN7PYZDSERAVLB5 \
  | 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: d9db04e0980f5a06fdf8c8e44882ab0f5176950a0328944397402ad9153ede7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80b6966ca64967e5d774c1f11fbe060c7aeedd354ca2d51180e7133e2fd7d1d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-16T05:54:43Z",
    "title_canon_sha256": "15b54cface19316767f50e59019b8f580a1af5cf68d35fc032705bbbd78225eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17550",
    "kind": "arxiv",
    "version": 1
  }
}