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Pith Number

pith:IBNDK5WW

pith:2025:IBNDK5WWH46XMCXC64V6ZEWRQG
not attested not anchored not stored refs pending

Running of the spectral index: forest Reconciling the CMB with the Lyman-$\alpha$ Forest

Lucien Heurtier, Malcolm Fairbairn, Mar\'ia Olalla Olea-Romacho

arxiv:2511.01612 v2 · 2025-11-03 · astro-ph.CO · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IBNDK5WWH46XMCXC64V6ZEWRQG}

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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

2 papers in Pith

Receipt and verification
First computed 2026-06-19T16:11:15.998883Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

405a3576d63f3d760ae2f72bec92d181b0877c40af46a6ec6292c3e86f8bc24e

Aliases

arxiv: 2511.01612 · arxiv_version: 2511.01612v2 · doi: 10.48550/arxiv.2511.01612 · pith_short_12: IBNDK5WWH46X · pith_short_16: IBNDK5WWH46XMCXC · pith_short_8: IBNDK5WW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IBNDK5WWH46XMCXC64V6ZEWRQG \
  | 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: 405a3576d63f3d760ae2f72bec92d181b0877c40af46a6ec6292c3e86f8bc24e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e10593c7ed309896d6d59fc8350ec2ce11e94f8c05ac1858fe2ed6275f4d2300",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-11-03T14:19:16Z",
    "title_canon_sha256": "0d5c4bf088ece4e90d68844204588642c49e6bd19be9b1da2ad2dc6dbe431e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.01612",
    "kind": "arxiv",
    "version": 2
  }
}