Pith Number

pith:35Q2GPWE

pith:2011:35Q2GPWEERHCRAWZRQCESQ6RIE

not attested not anchored not stored refs pending

Fast multi-particle scattering: a hybrid solver for the Maxwell equations in microstructured materials

Leslie Greengard, Zydrunas Gimbutas

arxiv:1104.5293 v1 · 2011-04-28 · math.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35Q2GPWEERHCRAWZRQCESQ6RIE}

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	2026-05-18T04:23:21.796569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df61a33ec4244e2882d98c044943d1412b592f368dedefad3598266c2cdcdf03

Aliases

arxiv: 1104.5293 · arxiv_version: 1104.5293v1 · doi: 10.48550/arxiv.1104.5293 · pith_short_12: 35Q2GPWEERHC · pith_short_16: 35Q2GPWEERHCRAWZ · pith_short_8: 35Q2GPWE

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/35Q2GPWEERHCRAWZRQCESQ6RIE \
  | 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: df61a33ec4244e2882d98c044943d1412b592f368dedefad3598266c2cdcdf03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c71fd053c2278cd48c5becc1a49e917c69c8775165ae334b0c05a6d11ae7cfd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-04-28T04:14:46Z",
    "title_canon_sha256": "6e95b801374022ad488e5dac52e4728b27532a45e80407872b32b519ccb3f5a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5293",
    "kind": "arxiv",
    "version": 1
  }
}