Pith Number

pith:OU5DKLBN

pith:2016:OU5DKLBNA3LRSXFUTBOCLLPEXS

not attested not anchored not stored refs pending

A bound on the averaged spectral shift function and a lower bound on the density of states for random Schr\"odinger operators on $\mathbb{R}^d$

Abel Klein, Adrian Dietlein, Martin Gebert, Peter D. Hislop, Peter M\"uller

arxiv:1606.01579 v1 · 2016-06-05 · 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{OU5DKLBNA3LRSXFUTBOCLLPEXS}

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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	2026-05-17T23:55:30.153209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

753a352c2d06d7195cb4985c25ade4bc95bc4c66cfa1cd6b8c405e0ef19a4fb3

Aliases

arxiv: 1606.01579 · arxiv_version: 1606.01579v1 · doi: 10.48550/arxiv.1606.01579 · pith_short_12: OU5DKLBNA3LR · pith_short_16: OU5DKLBNA3LRSXFU · pith_short_8: OU5DKLBN

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/OU5DKLBNA3LRSXFUTBOCLLPEXS \
  | 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: 753a352c2d06d7195cb4985c25ade4bc95bc4c66cfa1cd6b8c405e0ef19a4fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5442e5de830f32e15ef86b1f52a1a9e8b79405ab4d1ad6ba423a9a4371de9d6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-05T23:12:59Z",
    "title_canon_sha256": "1cac7d306cc9bfb9c3885c99273cd5bb6560377f0f4e7504b5cd454677bcb9c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01579",
    "kind": "arxiv",
    "version": 1
  }
}