Pith Number

pith:AVEQHH7R

pith:2009:AVEQHH7RIK7VSHWHHXHRARBQGB

not attested not anchored not stored refs pending

On the continuity of spectra for families of magnetic pseudodifferential operators

Marius Mantoiu, Nassim Athmouni, Radu Purice

arxiv:0912.0652 v2 · 2009-12-03 · math.FA · 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{AVEQHH7RIK7VSHWHHXHRARBQGB}

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	2026-05-18T02:10:34.279338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0549039ff142bf591ec73dcf104430305412891f96c62958f12f005db4aeab9f

Aliases

arxiv: 0912.0652 · arxiv_version: 0912.0652v2 · doi: 10.48550/arxiv.0912.0652 · pith_short_12: AVEQHH7RIK7V · pith_short_16: AVEQHH7RIK7VSHWH · pith_short_8: AVEQHH7R

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/AVEQHH7RIK7VSHWHHXHRARBQGB \
  | 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: 0549039ff142bf591ec73dcf104430305412891f96c62958f12f005db4aeab9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ff72fb7521564d8542e34c1bf1fd5ac0de5baa323846dbfbacc2f15c0a5f23",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-12-03T13:29:53Z",
    "title_canon_sha256": "ef2c20bc848e4b455d82fe12faef9b3d0fb7afae97eb8be6d8c89d860bf42d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0652",
    "kind": "arxiv",
    "version": 2
  }
}