Pith Number

pith:KA6W32T2

pith:2020:KA6W32T276SX245NO72D34RZJQ

not attested not anchored not stored refs pending

Natively Periodic Fast Multipole Method: Approximating the Optimal Green Function

Nickolay Y. Gnedin

arxiv:2011.07099 v2 · 2020-11-13 · physics.comp-ph · astro-ph.GA · 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{KA6W32T276SX245NO72D34RZJQ}

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	2026-07-05T02:21:38.741775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

503d6dea7affa57d73ad77f43df2394c349becba2762938d42a3d034ad12a6da

Aliases

arxiv: 2011.07099 · arxiv_version: 2011.07099v2 · doi: 10.48550/arxiv.2011.07099 · pith_short_12: KA6W32T276SX · pith_short_16: KA6W32T276SX245N · pith_short_8: KA6W32T2

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/KA6W32T276SX245NO72D34RZJQ \
  | 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: 503d6dea7affa57d73ad77f43df2394c349becba2762938d42a3d034ad12a6da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8bccced07666fe711405e5a99d604bfc241f90965bbf3d9f71664ae614ec9a",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.IM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2020-11-13T19:32:29Z",
    "title_canon_sha256": "71e9eccfd32c216bcbe72868ab5452a679a05d8aa64b7c39376e8a27a0343b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.07099",
    "kind": "arxiv",
    "version": 2
  }
}