Pith Number

pith:TQ3BVBYW

pith:2011:TQ3BVBYWZGCG5URQPUC4MV7ASE

not attested not anchored not stored refs pending

Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics

Karel Pravda-Starov, Michael Hitrik

arxiv:1105.4801 v1 · 2011-05-24 · 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{TQ3BVBYWZGCG5URQPUC4MV7ASE}

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	2026-05-18T04:21:21.782614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c361a8716c9846ed2307d05c657e09134d835eab03da2fe878af69fd6c09361

Aliases

arxiv: 1105.4801 · arxiv_version: 1105.4801v1 · doi: 10.48550/arxiv.1105.4801 · pith_short_12: TQ3BVBYWZGCG · pith_short_16: TQ3BVBYWZGCG5URQ · pith_short_8: TQ3BVBYW

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/TQ3BVBYWZGCG5URQPUC4MV7ASE \
  | 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: 9c361a8716c9846ed2307d05c657e09134d835eab03da2fe878af69fd6c09361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30293d6394554f5647c8ea56c963a8556f999720ddee0fcb62af6e62336e76bd",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-24T15:25:43Z",
    "title_canon_sha256": "03623db6b4abfb2432ae501c8ab47cbc36f75ef02c750189a50f56cf515414d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4801",
    "kind": "arxiv",
    "version": 1
  }
}