Pith Number

pith:2KEBMZB4

pith:2011:2KEBMZB4FZXKGDBBS7MYR77JBG

not attested not anchored not stored refs pending

A Short Course on One-Dimensional Random Schr\"odinger Operators

David Damanik (Rice University)

arxiv:1107.1094 v1 · 2011-07-06 · 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{2KEBMZB4FZXKGDBBS7MYR77JBG}

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	2026-05-18T04:18:45.627152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28816643c2e6ea30c2197d988ffe909970ce5e9327c5f380434af6adfbe63fc

Aliases

arxiv: 1107.1094 · arxiv_version: 1107.1094v1 · doi: 10.48550/arxiv.1107.1094 · pith_short_12: 2KEBMZB4FZXK · pith_short_16: 2KEBMZB4FZXKGDBB · pith_short_8: 2KEBMZB4

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/2KEBMZB4FZXKGDBBS7MYR77JBG \
  | 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: d28816643c2e6ea30c2197d988ffe909970ce5e9327c5f380434af6adfbe63fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa9cee161d3d0ace4225933922d2af6a119d7215cc25db53631e19feef8ce6ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-07-06T11:06:31Z",
    "title_canon_sha256": "477af5bfb7ea603baef03127e140618dd8b8cf449f26800a3770475661212ac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1094",
    "kind": "arxiv",
    "version": 1
  }
}