Pith Number

pith:SARYD2AT

pith:2018:SARYD2AT5CU667ACN32576P5QZ

not attested not anchored not stored refs pending

Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices

Benjamin St{\o}ttrup, Henrik Garde, Horia D. Cornean, Kasper S. S{\o}rensen

arxiv:1809.05883 v2 · 2018-09-16 · math.AP · 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{SARYD2AT5CU667ACN32576P5QZ}

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	2026-05-17T23:47:08.667466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

902381e813e8a9ef7c026ef5dff9fd86522e36d6ce3017a20a84239596dc571d

Aliases

arxiv: 1809.05883 · arxiv_version: 1809.05883v2 · doi: 10.48550/arxiv.1809.05883 · pith_short_12: SARYD2AT5CU6 · pith_short_16: SARYD2AT5CU667AC · pith_short_8: SARYD2AT

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/SARYD2AT5CU667ACN32576P5QZ \
  | 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: 902381e813e8a9ef7c026ef5dff9fd86522e36d6ce3017a20a84239596dc571d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1fe83c5c1d3056c3a160da4d4a84a37715dfa52e3631f697bb4873ffde8d9e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-16T14:29:55Z",
    "title_canon_sha256": "45803496075296e4eea4c613c1f73aebb18ed291d82f3010460bba6ac96b2d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05883",
    "kind": "arxiv",
    "version": 2
  }
}