Pith Number

pith:MWAROB3G

pith:2016:MWAROB3GXNA4NIWH4G2UHCKZ4C

not attested not anchored not stored refs pending

An O(N) and parallel approach to integral problems by a kernel-independent fast multipole method: Application to polarization and magnetization of interacting particles

Dmitry Karpeev, Jian Qin, Jiyuan Li, Juan de Pablo, Juan Hernandez-Ortiz, Olle Heinonen, Xikai Jiang, Xujun Zhao

arxiv:1605.01715 v2 · 2016-05-05 · physics.comp-ph · cond-mat.mes-hall · cond-mat.mtrl-sci · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWAROB3GXNA4NIWH4G2UHCKZ4C}

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	2026-05-18T01:09:11.678527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6581170766bb41c6a2c7e1b5438959e094c7a74a7b765acfb454688a07791122

Aliases

arxiv: 1605.01715 · arxiv_version: 1605.01715v2 · doi: 10.48550/arxiv.1605.01715 · pith_short_12: MWAROB3GXNA4 · pith_short_16: MWAROB3GXNA4NIWH · pith_short_8: MWAROB3G

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/MWAROB3GXNA4NIWH4G2UHCKZ4C \
  | 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: 6581170766bb41c6a2c7e1b5438959e094c7a74a7b765acfb454688a07791122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29b0e79a95541ae1f022d742e5bb4dc143eaef2dc44f05fa908ab0e76e95e8cb",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.mtrl-sci",
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2016-05-05T19:56:08Z",
    "title_canon_sha256": "fdfc528c7a904cb5473da7aa409df2769b5a2f7f92718532bd475af21cc5214c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01715",
    "kind": "arxiv",
    "version": 2
  }
}