Pith Number

pith:7NFMCXD6

pith:2021:7NFMCXD6VKOOBVK5JAMPASBEAE

not attested not anchored not stored refs pending

Cold dark matter protohalo structure around collapse: Lagrangian cosmological perturbation theory versus Vlasov simulations

Atsushi Taruya, Shohei Saga, St\'ephane Colombi

arxiv:2111.08836 v2 · 2021-11-16 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NFMCXD6VKOOBVK5JAMPASBEAE}

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

Post-collapse Lagrangian perturbation theory in three dimensions

Receipt and verification

First computed	2026-07-05T06:41:00.776414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4ac15c7eaa9ce0d55d4818f04824012925db01b2496e29f00b74eaabc6ba66

Aliases

arxiv: 2111.08836 · arxiv_version: 2111.08836v2 · doi: 10.48550/arxiv.2111.08836 · pith_short_12: 7NFMCXD6VKOO · pith_short_16: 7NFMCXD6VKOOBVK5 · pith_short_8: 7NFMCXD6

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/7NFMCXD6VKOOBVK5JAMPASBEAE \
  | 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: fb4ac15c7eaa9ce0d55d4818f04824012925db01b2496e29f00b74eaabc6ba66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e9e54b01135df7a9bb8b9c9c29049931ec7b97d108bafdcf68ef54a236534a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-16T23:43:40Z",
    "title_canon_sha256": "b4340c97f16e228d837a22893dc21cf1b17cc112e7016678a82fa1d3335bdc7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08836",
    "kind": "arxiv",
    "version": 2
  }
}