Pith Number

pith:3XBVK3QC

pith:2013:3XBVK3QCS5DFSIL6SZK3BKMT6Z

not attested not anchored not stored refs pending

A Trace Formula for Long-Range Perturbations of the Landau Hamiltonian

Georgi Raikov, Tomas Lungenstrass

arxiv:1306.5837 v2 · 2013-06-25 · math.SP · 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{3XBVK3QCS5DFSIL6SZK3BKMT6Z}

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	2026-05-18T01:49:08.288370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc3556e02974659217e9655b0a993f6511c60a7713794a9849c331dcaa2ea61

Aliases

arxiv: 1306.5837 · arxiv_version: 1306.5837v2 · doi: 10.48550/arxiv.1306.5837 · pith_short_12: 3XBVK3QCS5DF · pith_short_16: 3XBVK3QCS5DFSIL6 · pith_short_8: 3XBVK3QC

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/3XBVK3QCS5DFSIL6SZK3BKMT6Z \
  | 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: ddc3556e02974659217e9655b0a993f6511c60a7713794a9849c331dcaa2ea61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fd467892aef3f9e52aefdd9608f2669f9d5368a178016c3a8e39cba0df04eac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-06-25T03:07:10Z",
    "title_canon_sha256": "915ba28f65ced07994c774d6c52a0238c225ccd71274b1cc261a73eee31f373c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5837",
    "kind": "arxiv",
    "version": 2
  }
}