Pith Number

pith:QRU7MB7B

pith:2022:QRU7MB7BNE6YH6WT5MRFNGZY3M

not attested not anchored not stored refs pending

Invariance of cosmological number counts under disformal transformations

Basundhara Ghosh, J\'er\'emie Francfort, Rajeev Kumar Jain

arxiv:2203.15341 v2 · 2022-03-29 · gr-qc · astro-ph.CO · 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{QRU7MB7BNE6YH6WT5MRFNGZY3M}

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	2026-07-05T06:35:43.342710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8469f607e1693d83fad3eb22569b38db30a1730f7f4d1dfe1ce6569bf038289c

Aliases

arxiv: 2203.15341 · arxiv_version: 2203.15341v2 · doi: 10.48550/arxiv.2203.15341 · pith_short_12: QRU7MB7BNE6Y · pith_short_16: QRU7MB7BNE6YH6WT · pith_short_8: QRU7MB7B

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/QRU7MB7BNE6YH6WT5MRFNGZY3M \
  | 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: 8469f607e1693d83fad3eb22569b38db30a1730f7f4d1dfe1ce6569bf038289c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb8995bdb1e029c27b4fbacaf3fb2f6a0ded7203eaf8a8847e02d30ae5a259e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-03-29T08:32:36Z",
    "title_canon_sha256": "55e14824981d1735ae5b0f9d2f7cbc63baf863a3565ff375833247b45f89a649"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15341",
    "kind": "arxiv",
    "version": 2
  }
}