Pith Number

pith:JUIZHDRV

pith:2012:JUIZHDRVFKB4CFG3MT4YBHFCT2

not attested not anchored not stored refs pending

An efficient multigrid calculation of the far field map for Helmholtz and Schr\"odinger equations

Bram Reps, Siegfried Cools, Wim Vanroose

arxiv:1211.4461 v5 · 2012-11-19 · math.NA · cs.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{JUIZHDRVFKB4CFG3MT4YBHFCT2}

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	2026-05-18T02:50:24.470908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d11938e352a83c114db64f9809ca29e85748be68e3fd01b26e740f540bddbbb

Aliases

arxiv: 1211.4461 · arxiv_version: 1211.4461v5 · doi: 10.48550/arxiv.1211.4461 · pith_short_12: JUIZHDRVFKB4 · pith_short_16: JUIZHDRVFKB4CFG3 · pith_short_8: JUIZHDRV

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/JUIZHDRVFKB4CFG3MT4YBHFCT2 \
  | 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: 4d11938e352a83c114db64f9809ca29e85748be68e3fd01b26e740f540bddbbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48eb6bc9c37ced01483a06f757b07eaaa3fd5da72238d5c729c6d088f0b878c5",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-19T15:23:31Z",
    "title_canon_sha256": "0de8ae9f5ae6a12ccfdb8227e9b596428bbf9c4d176f082a1aa7f66333d533bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4461",
    "kind": "arxiv",
    "version": 5
  }
}