Pith Number

pith:7SQDG6PE

pith:1997:7SQDG6PEG3GAEJFZW6KEQODVPU

not attested not anchored not stored refs pending

A comparison between Fast Multipole Algorithm and Tree-Code to evaluate gravitational forces in 3-D

(2) Dept. of Physics, P. Miocchi (2) ((1) Inst. of Astronomy, R. Capuzzo-Dolcetta (1), University of Roma La Sapienza, University of Roma La Sapienza)

arxiv:astro-ph/9703122 v1 · 1997-03-19 · 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{7SQDG6PEG3GAEJFZW6KEQODVPU}

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	2026-05-18T01:07:38.569326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca03379e436cc0224b9b7944838757d23ac4aa2f5b2b90616c42e30ef14a27b

Aliases

arxiv: astro-ph/9703122 · arxiv_version: astro-ph/9703122v1 · doi: 10.48550/arxiv.astro-ph/9703122 · pith_short_12: 7SQDG6PEG3GA · pith_short_16: 7SQDG6PEG3GAEJFZ · pith_short_8: 7SQDG6PE

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/7SQDG6PEG3GAEJFZW6KEQODVPU \
  | 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: fca03379e436cc0224b9b7944838757d23ac4aa2f5b2b90616c42e30ef14a27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c914ad5029b091c62a7962e624f9acccbab87688e897d655420a9b67bf49c0c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-03-19T18:13:38Z",
    "title_canon_sha256": "13f855fa2c7f56359a4eca874d7d6adf762531352752750abba15c3ef10dedce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9703122",
    "kind": "arxiv",
    "version": 1
  }
}