Pith Number

pith:LOJGCOZP

pith:2022:LOJGCOZPSUGJNRCH5PF6YHUOSC

not attested not anchored not stored refs pending

Scaling Transformations and the Origins of Light Relics Constraints from Cosmic Microwave Background Observations

Fei Ge, Francis-Yan Cyr-Racine, Lloyd Knox

arxiv:2210.16335 v2 · 2022-10-28 · astro-ph.CO · 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{LOJGCOZPSUGJNRCH5PF6YHUOSC}

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	2026-07-05T07:17:23.154825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b92613b2f950c96c447ebcbec1e8e9088db7221922a29e0169b221291d2f087

Aliases

arxiv: 2210.16335 · arxiv_version: 2210.16335v2 · doi: 10.48550/arxiv.2210.16335 · pith_short_12: LOJGCOZPSUGJ · pith_short_16: LOJGCOZPSUGJNRCH · pith_short_8: LOJGCOZP

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/LOJGCOZPSUGJNRCH5PF6YHUOSC \
  | 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: 5b92613b2f950c96c447ebcbec1e8e9088db7221922a29e0169b221291d2f087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10976962e68adc379bfc9b5cc5b36237c3151707ea80d7196675730b53867523",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-10-28T18:00:08Z",
    "title_canon_sha256": "d3e634451e1787bf1d67b303a2e797a52acc1e5406fea920abc1e610722dfe1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16335",
    "kind": "arxiv",
    "version": 2
  }
}