Pith Number

pith:3RBYT4UA

pith:2018:3RBYT4UA22GOTG7DI5W3AZB72W

not attested not anchored not stored refs pending

Essential spectrum for Maxwell's equations

Giovanni S. Alberti, Ian Wood, Malcolm Brown, Marco Marletta

arxiv:1804.08952 v1 · 2018-04-24 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RBYT4UA22GOTG7DI5W3AZB72W}

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	2026-05-17T23:45:38.601787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4389f280d68ce99be3476db0643fd5a7ab03a0d7933895a5d538e97d1743b7

Aliases

arxiv: 1804.08952 · arxiv_version: 1804.08952v1 · doi: 10.48550/arxiv.1804.08952 · pith_short_12: 3RBYT4UA22GO · pith_short_16: 3RBYT4UA22GOTG7D · pith_short_8: 3RBYT4UA

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/3RBYT4UA22GOTG7DI5W3AZB72W \
  | 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: dc4389f280d68ce99be3476db0643fd5a7ab03a0d7933895a5d538e97d1743b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a1ebf09940c3f7ceade29bbe1e480a25576df4987890687cd9e84f970008f7c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-24T10:59:24Z",
    "title_canon_sha256": "5cd849d9872a702fb4a9e62f331e54a2678b14904b3a7d0796a3d1dfe7b578a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08952",
    "kind": "arxiv",
    "version": 1
  }
}