Pith Number

pith:XLEOO2NH

pith:2021:XLEOO2NH56FB4TT3ZHYPMXS4RI

not attested not anchored not stored refs pending

Thermal effects and scalar modes in the cosmological propagation of gravitational waves

Salvatore Capozziello, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:2104.10936 v2 · 2021-04-22 · 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{XLEOO2NH56FB4TT3ZHYPMXS4RI}

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	2026-07-05T03:03:50.083728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac8e769a7ef8a1e4e7bc9f0f65e5c8a2d6c8124b9d31396b9c4c47ee06ff079

Aliases

arxiv: 2104.10936 · arxiv_version: 2104.10936v2 · doi: 10.48550/arxiv.2104.10936 · pith_short_12: XLEOO2NH56FB · pith_short_16: XLEOO2NH56FB4TT3 · pith_short_8: XLEOO2NH

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/XLEOO2NH56FB4TT3ZHYPMXS4RI \
  | 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: bac8e769a7ef8a1e4e7bc9f0f65e5c8a2d6c8124b9d31396b9c4c47ee06ff079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf6b56059b9e5b7020d5c4fd92602a448fe54949753504a69be06d80454c58f8",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-22T09:06:39Z",
    "title_canon_sha256": "7ccdc84488c18390a6e8663b0ac77d704692230e52f727ee7dc3d0a644b119ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.10936",
    "kind": "arxiv",
    "version": 2
  }
}