Pith Number

pith:CMECVOU6

pith:2010:CMECVOU64QAZ57BTSX65XN65AN

not attested not anchored not stored refs pending

The cosmological backreaction: gauge (in)dependence, observers and scalars

Giovanni Marozzi

arxiv:1011.4921 v3 · 2010-11-22 · 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{CMECVOU64QAZ57BTSX65XN65AN}

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

Tensor-Induced Backreaction in Ultra-Slow-Roll Inflation

Receipt and verification

First computed	2026-05-18T04:18:23.397581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13082aba9ee4019efc3395fddbb7dd036d4379dcf08848d3c038630839793690

Aliases

arxiv: 1011.4921 · arxiv_version: 1011.4921v3 · doi: 10.48550/arxiv.1011.4921 · pith_short_12: CMECVOU64QAZ · pith_short_16: CMECVOU64QAZ57BT · pith_short_8: CMECVOU6

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/CMECVOU64QAZ57BTSX65XN65AN \
  | 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: 13082aba9ee4019efc3395fddbb7dd036d4379dcf08848d3c038630839793690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740a6f85da6a84bfc21b9cde0e3890037a50c532337718108311e4fa5520233b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-22T20:00:44Z",
    "title_canon_sha256": "ed8469c42247ca7e5015d16b29a597a7b88af7b4f1bb442c9f9a28faa855f8ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4921",
    "kind": "arxiv",
    "version": 3
  }
}