Pith Number

pith:DH3XZEXF

pith:2016:DH3XZEXFRNWQ43COBAIPKIEX6Y

not attested not anchored not stored refs pending

Cosmological backreaction in the presence of radiation and a cosmological constant

Timothy Clifton, Viraj A. A. Sanghai

arxiv:1604.06345 v3 · 2016-04-21 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DH3XZEXFRNWQ43COBAIPKIEX6Y}

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.

Cited by

1 paper in Pith

Les Houches on Dark Universe 2025: Elements of cosmology beyond FLRW

Receipt and verification

First computed	2026-05-18T00:50:09.708932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f77c92e58b6d0e6c4e0810f52097f6260aca81ef9dc3057eb525d647b2b387

Aliases

arxiv: 1604.06345 · arxiv_version: 1604.06345v3 · doi: 10.48550/arxiv.1604.06345 · pith_short_12: DH3XZEXFRNWQ · pith_short_16: DH3XZEXFRNWQ43CO · pith_short_8: DH3XZEXF

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/DH3XZEXFRNWQ43COBAIPKIEX6Y \
  | 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: 19f77c92e58b6d0e6c4e0810f52097f6260aca81ef9dc3057eb525d647b2b387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e11d99c996dfeaaf9d48b05ef81c58230ec3818f6654f4cd594cccbaee92ea0",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-04-21T14:58:03Z",
    "title_canon_sha256": "6d57cff1e4d6b1ba5982c3b38e2c02c57ac71c40f46fc0b34ceef30a74190659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06345",
    "kind": "arxiv",
    "version": 3
  }
}