Pith Number

pith:TCTPEHGE

pith:2021:TCTPEHGEYBNQXWCHDAHRGUOUW2

not attested not anchored not stored refs pending

Hamiltonian formalism for cosmological perturbations: the separate-universe approach

Danilo Artigas, Julien Grain, Vincent Vennin

arxiv:2110.11720 v3 · 2021-10-22 · astro-ph.CO · gr-qc · hep-ph · 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{TCTPEHGEYBNQXWCHDAHRGUOUW2}

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

3 papers in Pith

Stochastic constant-roll inflation beyond the hilltop with the spectral method

Compaction function in stochastic inflation: a \texttt{FOREST} of type I and II primordial black holes

Towards Stochastic Inflation in Higher-Curvature Gravity

Receipt and verification

First computed	2026-07-05T04:13:44.482736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a6f21cc4c05b0bd847180f1351d4b6b7292d9aaadabbd0505af019b8c70765

Aliases

arxiv: 2110.11720 · arxiv_version: 2110.11720v3 · doi: 10.48550/arxiv.2110.11720 · pith_short_12: TCTPEHGEYBNQ · pith_short_16: TCTPEHGEYBNQXWCH · pith_short_8: TCTPEHGE

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/TCTPEHGEYBNQXWCHDAHRGUOUW2 \
  | 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: 98a6f21cc4c05b0bd847180f1351d4b6b7292d9aaadabbd0505af019b8c70765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c3d8d90a1823064a64d11e1498c200274d39ae34debc6e6447e0675235140c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-10-22T11:48:58Z",
    "title_canon_sha256": "24c03e797f945e8e5c1a8163ffddc4e2ba516b772e9fcd618a45dd645a354a18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11720",
    "kind": "arxiv",
    "version": 3
  }
}