Pith Number

pith:SD2ZH7TY

pith:2022:SD2ZH7TYCDK2OSM5ZIUZDACDJM

not attested not anchored not stored refs pending

Growth of Sobolev norms in quasi integrable quantum systems

Beatrice Langella, Dario Bambusi

arxiv:2202.04505 v2 · 2022-02-09 · math.AP · 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{SD2ZH7TYCDK2OSM5ZIUZDACDJM}

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	2026-07-05T09:51:26.805507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f593fe7810d5a7499dca299180434b345a3e956d92747127e7fd53ab8a82e6

Aliases

arxiv: 2202.04505 · arxiv_version: 2202.04505v2 · doi: 10.48550/arxiv.2202.04505 · pith_short_12: SD2ZH7TYCDK2 · pith_short_16: SD2ZH7TYCDK2OSM5 · pith_short_8: SD2ZH7TY

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/SD2ZH7TYCDK2OSM5ZIUZDACDJM \
  | 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: 90f593fe7810d5a7499dca299180434b345a3e956d92747127e7fd53ab8a82e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f49d8b17ffff3e92e8c599a65366d8c26652e15a7eea527f0bd07d75c8d173f1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-02-09T15:07:45Z",
    "title_canon_sha256": "68d25cfe0d512f4a9ecfee5cf75dfae0cc8e69d08c08d0cf58ec6c3217b7ce06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.04505",
    "kind": "arxiv",
    "version": 2
  }
}