Pith Number

pith:5PIOOQPP

pith:2024:5PIOOQPPCW2NKNTC7GCPI4YP64

not attested not anchored not stored refs pending

The Laplacian with complex magnetic fields

David Krejcirik, Nicolas Raymond, Tho Nguyen Duc

arxiv:2410.01377 v2 · 2024-10-02 · math-ph · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PIOOQPPCW2NKNTC7GCPI4YP64}

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	2026-06-05T01:14:24.473667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd0e741ef15b4d53662f984f4730ff7397b1d77fd80019621ee3bdabfd6c32e

Aliases

arxiv: 2410.01377 · arxiv_version: 2410.01377v2 · doi: 10.48550/arxiv.2410.01377 · pith_short_12: 5PIOOQPPCW2N · pith_short_16: 5PIOOQPPCW2NKNTC · pith_short_8: 5PIOOQPP

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/5PIOOQPPCW2NKNTC7GCPI4YP64 \
  | 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: ebd0e741ef15b4d53662f984f4730ff7397b1d77fd80019621ee3bdabfd6c32e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46d0a40599c5a6465556db85c36bfbfec6c08a049ff04398674b30f25fd7d0e",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-10-02T09:45:07Z",
    "title_canon_sha256": "fe97712bf33d39c9aa40569d5e3562ca70921e82272e394e79e5f734033ff252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.01377",
    "kind": "arxiv",
    "version": 2
  }
}