Pith Number

pith:J2PKBL3J

pith:2018:J2PKBL3JKZIYMWG2BRUHOQ44CM

not attested not anchored not stored refs pending

Lagrangian cosmological perturbation theory at shell-crossing

Atsushi Taruya, Shohei Saga, St\'ephane Colombi

arxiv:1805.08787 v2 · 2018-05-22 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2PKBL3JKZIYMWG2BRUHOQ44CM}

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	2026-05-17T23:58:14.267791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9ea0af6956518658da0c6877439c13305f9d2d474c761f6a181114f2e670db

Aliases

arxiv: 1805.08787 · arxiv_version: 1805.08787v2 · doi: 10.48550/arxiv.1805.08787 · pith_short_12: J2PKBL3JKZIY · pith_short_16: J2PKBL3JKZIYMWG2 · pith_short_8: J2PKBL3J

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/J2PKBL3JKZIYMWG2BRUHOQ44CM \
  | 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: 4e9ea0af6956518658da0c6877439c13305f9d2d474c761f6a181114f2e670db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e022b9a4bde6489dffc4784b8cdd8fdba368438907db31c492be3986c306e6a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-05-22T18:00:02Z",
    "title_canon_sha256": "6b674cbb6ed3d62637748bdaad2e9d2411a9567561804d03c69b67d2ae2462d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08787",
    "kind": "arxiv",
    "version": 2
  }
}