Pith Number

pith:ZHPDWYWK

pith:2025:ZHPDWYWK4WSHRHMTAQVZ3NL2YM

not attested not anchored not stored refs pending

Back-Reaction of Super-Hubble Fluctuations, Late Time Tracking and Recent Observational Results

Leila Graef, Marco Antonio Cardoso Alvarez, Robert Brandenberger

arxiv:2502.17395 v2 · 2025-02-24 · 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{ZHPDWYWK4WSHRHMTAQVZ3NL2YM}

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	2026-07-05T11:20:51.131364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9de3b62cae5a4789d93042b9db57ac31b4f00f143f8d1ffe3e10dcfdaaee2a0

Aliases

arxiv: 2502.17395 · arxiv_version: 2502.17395v2 · doi: 10.48550/arxiv.2502.17395 · pith_short_12: ZHPDWYWK4WSH · pith_short_16: ZHPDWYWK4WSHRHMT · pith_short_8: ZHPDWYWK

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/ZHPDWYWK4WSHRHMTAQVZ3NL2YM \
  | 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: c9de3b62cae5a4789d93042b9db57ac31b4f00f143f8d1ffe3e10dcfdaaee2a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2ee535fd4f59f2d47582696b7e87e9f2aa0f4c97e4c6c5bda0490fd51ad3ac",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-02-24T18:23:33Z",
    "title_canon_sha256": "ab6a64470d62c13158fc9e6dd154d40f939f14e6515053eeb74ffcee901a3269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.17395",
    "kind": "arxiv",
    "version": 2
  }
}