Pith Number

pith:J3HG4R7X

pith:2016:J3HG4R7XFCBEPOK4LCTHAGL6QZ

not attested not anchored not stored refs pending

Massively Parallel Computation of Accurate Densities for N-body Dark Matter Simulations using the Phase-Space-Element Method

Ralf Kaehler

arxiv:1612.09491 v2 · 2016-12-29 · physics.comp-ph · astro-ph.IM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3HG4R7XFCBEPOK4LCTHAGL6QZ}

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	2026-05-18T00:36:43.626712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ece6e47f7288247b95c58a670197e865d6c8a5ad9b2651f7d9899d1a38c04de

Aliases

arxiv: 1612.09491 · arxiv_version: 1612.09491v2 · doi: 10.48550/arxiv.1612.09491 · pith_short_12: J3HG4R7XFCBE · pith_short_16: J3HG4R7XFCBEPOK4 · pith_short_8: J3HG4R7X

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/J3HG4R7XFCBEPOK4LCTHAGL6QZ \
  | 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: 4ece6e47f7288247b95c58a670197e865d6c8a5ad9b2651f7d9899d1a38c04de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e50818c222220cf21aefa70106fa1122dc7a38736f2f755bf1973a5e45e8f2eb",
    "cross_cats_sorted": [
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2016-12-29T00:48:55Z",
    "title_canon_sha256": "a30e9f3860e6d6be0add691eeefcd060474fec103951010c0362c0dde7d76bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09491",
    "kind": "arxiv",
    "version": 2
  }
}