Pith Number

pith:ERRQYUN2

pith:2019:ERRQYUN25AT7SBEUPZZ77I7MWR

not attested not anchored not stored refs pending

Symmetry and localization for magnetic Schroedinger operators: Landau levels, Gabor frames and all that

Gianluca Panati, Massimo Moscolari

arxiv:1902.02101 v2 · 2019-02-06 · math-ph · cond-mat.mes-hall · 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{ERRQYUN25AT7SBEUPZZ77I7MWR}

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	2026-05-17T23:46:52.912795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24630c51bae827f904947e73ffa3ecb46a232f2c66bc1604cfaca3b703851321

Aliases

arxiv: 1902.02101 · arxiv_version: 1902.02101v2 · doi: 10.48550/arxiv.1902.02101 · pith_short_12: ERRQYUN25AT7 · pith_short_16: ERRQYUN25AT7SBEU · pith_short_8: ERRQYUN2

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/ERRQYUN25AT7SBEUPZZ77I7MWR \
  | 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: 24630c51bae827f904947e73ffa3ecb46a232f2c66bc1604cfaca3b703851321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64fb6f458534dc09778072eb3afe9e613ebbdafff81fd85e8bbbf1f256d2a206",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-02-06T10:36:26Z",
    "title_canon_sha256": "b825c75947ad9e5ceeb7df20369795b5e28b6f16f22b69668fbc114fdd42bf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02101",
    "kind": "arxiv",
    "version": 2
  }
}