Pith Number

pith:T7PE4BFN

pith:2015:T7PE4BFNDQQMK4K34UVQ6XL7PG

not attested not anchored not stored refs pending

Recursive Solutions of Lagrangian Perturbation Theory

Takahiko Matsubara

arxiv:1505.01481 v3 · 2015-05-06 · astro-ph.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7PE4BFNDQQMK4K34UVQ6XL7PG}

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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

4 papers in Pith

Biased tracers, Hybrid Effective Field Theory and Modified Gravity

Galaxy Power Spectrum at Two-Loop Order: Implications for Weak Lensing Surveys and New Physics

Perturbation-theory informed integrators for cosmological simulations

Post-collapse Lagrangian perturbation theory in three dimensions

Receipt and verification

First computed	2026-05-18T01:35:30.191994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fde4e04ad1c20c5715be52b0f5d7f799dc0547c2cc73ec5a7865718fbb4c54f

Aliases

arxiv: 1505.01481 · arxiv_version: 1505.01481v3 · doi: 10.48550/arxiv.1505.01481 · pith_short_12: T7PE4BFNDQQM · pith_short_16: T7PE4BFNDQQMK4K3 · pith_short_8: T7PE4BFN

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/T7PE4BFNDQQMK4K34UVQ6XL7PG \
  | 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: 9fde4e04ad1c20c5715be52b0f5d7f799dc0547c2cc73ec5a7865718fbb4c54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6866cc5a6dc08bb786f8a9f355ef5c83b5f9e3e7000f822335aba63c70a84ab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-05-06T20:00:24Z",
    "title_canon_sha256": "808adf3dfebd3dd27388b6111a5ad832c7e000c9d19f4d8573dd0bda671d7212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01481",
    "kind": "arxiv",
    "version": 3
  }
}