Pith Number

pith:VA7KLANP

pith:2014:VA7KLANPN2BWPH2M2R22J4HFFQ

not attested not anchored not stored refs pending

A fast solver for multi-particle scattering in a layered medium

Jun Lai, Leslie Greengard, Motoki Kobayashi

arxiv:1407.3868 v1 · 2014-07-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VA7KLANPN2BWPH2M2R22J4HFFQ}

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	2026-05-18T01:42:36.784676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83ea581af6e83679f4cd475a4f0e52c31d4f52ed29678d87122728689c051e6

Aliases

arxiv: 1407.3868 · arxiv_version: 1407.3868v1 · doi: 10.48550/arxiv.1407.3868 · pith_short_12: VA7KLANPN2BW · pith_short_16: VA7KLANPN2BWPH2M · pith_short_8: VA7KLANP

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/VA7KLANPN2BWPH2M2R22J4HFFQ \
  | 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: a83ea581af6e83679f4cd475a4f0e52c31d4f52ed29678d87122728689c051e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9850fb38c3c8ac7d7cb8bd5dadf33624fe2e87694a7e68917c363821cb8a51a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-07-15T02:46:02Z",
    "title_canon_sha256": "c47dcaf968afe4c5c4b350ef1c1509636b1e6b1dfc330b8abb3d9182dff4091a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3868",
    "kind": "arxiv",
    "version": 1
  }
}