Pith Number

pith:WAZHMWWW

pith:2009:WAZHMWWWSXBPCCJHU2MZ4UQGQE

not attested not anchored not stored refs pending

Unicity of the integrated density of states for relativistic Schroedinger operators with regular fields and singular electric potentials

Marius Mantoiu, Radu Purice, Viorel Iftimie

arxiv:0907.5584 v1 · 2009-07-31 · 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{WAZHMWWWSXBPCCJHU2MZ4UQGQE}

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	2026-05-18T02:48:55.261288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b032765ad695c2f10927a6999e5206810c69906cf0573d8dddc279c7dbaeca43

Aliases

arxiv: 0907.5584 · arxiv_version: 0907.5584v1 · doi: 10.48550/arxiv.0907.5584 · pith_short_12: WAZHMWWWSXBP · pith_short_16: WAZHMWWWSXBPCCJH · pith_short_8: WAZHMWWW

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/WAZHMWWWSXBPCCJHU2MZ4UQGQE \
  | 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: b032765ad695c2f10927a6999e5206810c69906cf0573d8dddc279c7dbaeca43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb93f0d05a6c3b6b27c378c3b049fa69ea45d75e46a519c4f0fd76ed21ccd3b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-07-31T17:57:44Z",
    "title_canon_sha256": "99f9eca7fec7d0733cf891a10114fb6c1851aecce23f5a37a4c2bf5577f13be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5584",
    "kind": "arxiv",
    "version": 1
  }
}