Pith Number

pith:6U4PJ4HE

pith:2016:6U4PJ4HES5MVZBP74VAMPAJSCU

not attested not anchored not stored refs pending

A Fast Algorithm for Solving Scalar Wave Scattering Problem by Billions of Particles

Alexander Ramm, Nhan Tran

arxiv:1602.04691 v1 · 2016-02-15 · 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{6U4PJ4HES5MVZBP74VAMPAJSCU}

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	2026-05-18T01:20:49.395650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f538f4f0e497595c85ffe540c78132152b2eb87eb4e38b3b330b14ce0f4efb07

Aliases

arxiv: 1602.04691 · arxiv_version: 1602.04691v1 · doi: 10.48550/arxiv.1602.04691 · pith_short_12: 6U4PJ4HES5MV · pith_short_16: 6U4PJ4HES5MVZBP7 · pith_short_8: 6U4PJ4HE

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/6U4PJ4HES5MVZBP74VAMPAJSCU \
  | 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: f538f4f0e497595c85ffe540c78132152b2eb87eb4e38b3b330b14ce0f4efb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39371d0013d8b794075ba8820989165765ca0cc03019bf6964135590726e22df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-15T14:18:41Z",
    "title_canon_sha256": "2a7ca25b777ed049fc96f8d8fc955fc149d012c61a1a8527a36c943456458da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04691",
    "kind": "arxiv",
    "version": 1
  }
}