Pith Number

pith:ZMZ2XDQF

pith:2005:ZMZ2XDQFGJEIZX6EKG3CAVMMHU

not attested not anchored not stored refs pending

PPPM and TreePM Methods on GRAPE Systems for Cosmological N-body Simulations

Kohji Yoshikawa, Toshiyuki Fukushige

arxiv:astro-ph/0504095 v3 · 2005-04-05 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMZ2XDQFGJEIZX6EKG3CAVMMHU}

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

Renormalized Perturbation Theory at Field-level: the LSS bootstrap in GridSPT

Receipt and verification

First computed	2026-05-18T01:40:34.220827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb33ab8e0532488cdfc451b620558c3d1b439a631172fb40b03cde8198ca2501

Aliases

arxiv: astro-ph/0504095 · arxiv_version: astro-ph/0504095v3 · doi: 10.48550/arxiv.astro-ph/0504095 · pith_short_12: ZMZ2XDQFGJEI · pith_short_16: ZMZ2XDQFGJEIZX6E · pith_short_8: ZMZ2XDQF

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/ZMZ2XDQFGJEIZX6EKG3CAVMMHU \
  | 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: cb33ab8e0532488cdfc451b620558c3d1b439a631172fb40b03cde8198ca2501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e8c108a14200fc55f33bc32958ee1b838a6761b64ca54af54dfa24217a34dce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-04-05T01:52:59Z",
    "title_canon_sha256": "7f524a50077cecb7c106d5ab54ec22e44bc65b5e49babd6df845dbaf2783fe12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0504095",
    "kind": "arxiv",
    "version": 3
  }
}