Pith Number

pith:ZWYVE7RR

pith:2012:ZWYVE7RRK5ZEHAO2ZN2HC3LKK7

not attested not anchored not stored refs pending

FFT-based Kronecker product approximation to micromagnetic long-range interactions

Claas Abert, Dieter Suess, Hans Peter Stimming, Lukas Exl, Norbert J. Mauser, Thomas Schrefl

arxiv:1212.3509 v1 · 2012-12-14 · physics.comp-ph · 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{ZWYVE7RRK5ZEHAO2ZN2HC3LKK7}

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	2026-05-18T02:51:23.490224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb1527e3157724381dacb74716d6a57d6052334a3aac08e124949810e83c6b9

Aliases

arxiv: 1212.3509 · arxiv_version: 1212.3509v1 · doi: 10.48550/arxiv.1212.3509 · pith_short_12: ZWYVE7RRK5ZE · pith_short_16: ZWYVE7RRK5ZEHAO2 · pith_short_8: ZWYVE7RR

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/ZWYVE7RRK5ZEHAO2ZN2HC3LKK7 \
  | 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: cdb1527e3157724381dacb74716d6a57d6052334a3aac08e124949810e83c6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79ee60bb1e949df70a69bb6fc71f9d9363e90005f72d45ff5a78dd7fec70dcb",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2012-12-14T15:57:08Z",
    "title_canon_sha256": "c8e5b2d3c666489bd7fa431006c49b8bdc5f7e22f5768d94c08c38a7602d3c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3509",
    "kind": "arxiv",
    "version": 1
  }
}