Pith Number

pith:HKBXX7AI

pith:2012:HKBXX7AIPQCLTW2WHV7PL75PNY

not attested not anchored not stored refs pending

The recursion relation in Lagrangian perturbation theory

Cornelius Rampf

arxiv:1205.5274 v3 · 2012-05-23 · astro-ph.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKBXX7AIPQCLTW2WHV7PL75PNY}

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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

1 paper in Pith

Post-collapse Lagrangian perturbation theory in three dimensions

Receipt and verification

First computed	2026-05-18T02:55:36.648821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a837bfc087c04b9db563d7ef5ffaf6e05ebc4ad7e0bcb4fb205acab1311a5ff

Aliases

arxiv: 1205.5274 · arxiv_version: 1205.5274v3 · doi: 10.48550/arxiv.1205.5274 · pith_short_12: HKBXX7AIPQCL · pith_short_16: HKBXX7AIPQCLTW2W · pith_short_8: HKBXX7AI

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/HKBXX7AIPQCLTW2WHV7PL75PNY \
  | 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: 3a837bfc087c04b9db563d7ef5ffaf6e05ebc4ad7e0bcb4fb205acab1311a5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb72c662f2435a893b87332dcd71055a9b20906eace6bdf7f243710498728989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-23T20:00:17Z",
    "title_canon_sha256": "4f50c757519ba93881daa077597737024dacfd56d7d38a5b7e7e1d21eafa1f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5274",
    "kind": "arxiv",
    "version": 3
  }
}