Pith Number

pith:5BGUR37P

pith:2011:5BGUR37PKPVEXXRWCHANSPMQGQ

not attested not anchored not stored refs pending

Spectral shift function for slowly varying perturbation of periodic Schroedinger operators

Maher Zerzeri, Mouez Dimassi

arxiv:1102.2362 v2 · 2011-02-11 · 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{5BGUR37PKPVEXXRWCHANSPMQGQ}

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	2026-05-18T04:24:45.094610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84d48efef53ea4bde3611c0d93d9034099696ec52504c782c5cea25cc34ea0c

Aliases

arxiv: 1102.2362 · arxiv_version: 1102.2362v2 · doi: 10.48550/arxiv.1102.2362 · pith_short_12: 5BGUR37PKPVE · pith_short_16: 5BGUR37PKPVEXXRW · pith_short_8: 5BGUR37P

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/5BGUR37PKPVEXXRWCHANSPMQGQ \
  | 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: e84d48efef53ea4bde3611c0d93d9034099696ec52504c782c5cea25cc34ea0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16f6c9c61683b656b9120c266b3cb83037586564550453a71f3d9aac9458e85",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-02-11T14:41:38Z",
    "title_canon_sha256": "17fa607217603c90f6d59cb8688c8b80a7fa3794aee31c999e542c59b668d5ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2362",
    "kind": "arxiv",
    "version": 2
  }
}