Pith Number

pith:PK3ILJBA

pith:2016:PK3ILJBAQRZQDCIFEIFJVHUGZX

not attested not anchored not stored refs pending

A Schatten -von Neumann class criterion for the magnetic Weyl calculus

Nassim Athmouni, Radu Purice

arxiv:1601.04613 v2 · 2016-01-18 · 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{PK3ILJBAQRZQDCIFEIFJVHUGZX}

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	2026-05-18T00:21:57.358276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab685a4208473018905220a9a9e86cde8a92716cb914affb31cd5e266dc6995

Aliases

arxiv: 1601.04613 · arxiv_version: 1601.04613v2 · doi: 10.48550/arxiv.1601.04613 · pith_short_12: PK3ILJBAQRZQ · pith_short_16: PK3ILJBAQRZQDCIF · pith_short_8: PK3ILJBA

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/PK3ILJBAQRZQDCIFEIFJVHUGZX \
  | 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: 7ab685a4208473018905220a9a9e86cde8a92716cb914affb31cd5e266dc6995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2758e7ec094afcf9225b509129cdd6c74e451ad1167324f577d09a5701972449",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-18T17:16:20Z",
    "title_canon_sha256": "a3400d1e0d37c19ff3d2e7e287811618929bd665a89b203c9101e5d7bdf98b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04613",
    "kind": "arxiv",
    "version": 2
  }
}