Pith Number

pith:44XKBBMB

pith:2011:44XKBBMBLOFSQI6E4S5GNEDVCS

not attested not anchored not stored refs pending

Particle-Particle Particle-Tree: A Direct-Tree Hybrid Scheme for Collisional N-Body Simulations

Junichiro Makino, Shoichi Oshino, Yoko Funato

arxiv:1101.5504 v1 · 2011-01-28 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44XKBBMBLOFSQI6E4S5GNEDVCS}

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.

Receipt and verification

First computed	2026-05-18T02:03:20.870094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72ea085815b8b2823c4e4ba66907514b08a7647801d76a1d7aa6188847ee435

Aliases

arxiv: 1101.5504 · arxiv_version: 1101.5504v1 · doi: 10.48550/arxiv.1101.5504 · pith_short_12: 44XKBBMBLOFS · pith_short_16: 44XKBBMBLOFSQI6E · pith_short_8: 44XKBBMB

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/44XKBBMBLOFSQI6E4S5GNEDVCS \
  | 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: e72ea085815b8b2823c4e4ba66907514b08a7647801d76a1d7aa6188847ee435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbcd3a1e4f26424e816d7fbc96ed6274db56aac64fb0d2478544d94696603dc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2011-01-28T11:03:12Z",
    "title_canon_sha256": "8677aa82c8d16a0bd3d54eb8ffc327c1db8a23093b737fb31a04542a279d07a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5504",
    "kind": "arxiv",
    "version": 1
  }
}