Pith Number

pith:T2QLHHVC

pith:2003:T2QLHHVC47ZNMPAUB3HNBJNOBR

not attested not anchored not stored refs pending

Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions II. Vanishing Averages

Johannes Sjoestrand, Michael Hitrik

arxiv:math/0312222 v2 · 2003-12-10 · math.SP · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2QLHHVC47ZNMPAUB3HNBJNOBR}

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	2026-07-04T14:38:04.978263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea0b39ea2e7f2d63c140eced0a5ae0c62b17a77844ea0853f9f058f147e49a5

Aliases

arxiv: math/0312222 · arxiv_version: math/0312222v2 · doi: 10.48550/arxiv.math/0312222 · pith_short_12: T2QLHHVC47ZN · pith_short_16: T2QLHHVC47ZNMPAU · pith_short_8: T2QLHHVC

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/T2QLHHVC47ZNMPAUB3HNBJNOBR \
  | 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: 9ea0b39ea2e7f2d63c140eced0a5ae0c62b17a77844ea0853f9f058f147e49a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82fdfe7f9e8c84392e038d342d14b5b9ec53e03363acb8a3c20a01b060eca605",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2003-12-10T21:53:52Z",
    "title_canon_sha256": "b7431a30609c46b265796f2fa91f3a531de9a5c234d15c6fd25ed64e694f4495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312222",
    "kind": "arxiv",
    "version": 2
  }
}