Pith Number

pith:6NVQGZ2M

pith:2019:6NVQGZ2MDIXCIWZQ5FBXKEFZXR

not attested not anchored not stored refs pending

Long time growth of Sobolev norms in time dependent semiclassical anharmonic oscillators

Alberto Maspero, Emanuele Haus

arxiv:1904.03703 v1 · 2019-04-07 · 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{6NVQGZ2MDIXCIWZQ5FBXKEFZXR}

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	2026-05-17T23:49:12.448587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f36b03674c1a2e245b30e9437510b9bc70e47d7d71d2a10c64a7c840510a179d

Aliases

arxiv: 1904.03703 · arxiv_version: 1904.03703v1 · doi: 10.48550/arxiv.1904.03703 · pith_short_12: 6NVQGZ2MDIXC · pith_short_16: 6NVQGZ2MDIXCIWZQ · pith_short_8: 6NVQGZ2M

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/6NVQGZ2MDIXCIWZQ5FBXKEFZXR \
  | 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: f36b03674c1a2e245b30e9437510b9bc70e47d7d71d2a10c64a7c840510a179d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "366a70c36aa6b97b9e448dd6b6c0abfc25fe196040087d30f1d1400f4fbaf5f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-07T18:19:26Z",
    "title_canon_sha256": "f195365cfe2bc1af14b8fb93c2de2d26c2b0580951fcd6ec2a985ffd81dc876a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03703",
    "kind": "arxiv",
    "version": 1
  }
}