Pith Number

pith:M3KW4XGB

pith:2022:M3KW4XGBQO3BFP4PXPYCU4G5TG

not attested not anchored not stored refs pending

Baryon asymmetry from Barrow entropy: theoretical predictions and observational constraints

Emmanuel N. Saridakis, Giuseppe Gaetano Luciano

arxiv:2203.12010 v1 · 2022-03-22 · gr-qc · 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{M3KW4XGBQO3BFP4PXPYCU4G5TG}

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	2026-07-05T04:34:52.083149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d56e5cc183b612bf8fbbf02a70dd9988aa70f0ea787c03be9f6866bede3f78

Aliases

arxiv: 2203.12010 · arxiv_version: 2203.12010v1 · doi: 10.48550/arxiv.2203.12010 · pith_short_12: M3KW4XGBQO3B · pith_short_16: M3KW4XGBQO3BFP4P · pith_short_8: M3KW4XGB

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/M3KW4XGBQO3BFP4PXPYCU4G5TG \
  | 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: 66d56e5cc183b612bf8fbbf02a70dd9988aa70f0ea787c03be9f6866bede3f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6bf78eabc4c78f106a584217abb22fbecf216c46eb97f3a49c4cf4e33b9304",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-03-22T19:34:56Z",
    "title_canon_sha256": "09d880d0d8b3d032563e9fd6cbb378b7402053c0838d8d14a057ee14554f1699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.12010",
    "kind": "arxiv",
    "version": 1
  }
}