Pith Number

pith:TJ2LEJ3U

pith:2009:TJ2LEJ3U3JWJ4NUVGOG2JNVM33

not attested not anchored not stored refs pending

On the AC spectrum of one-dimensional random Schroedinger operators with matrix-valued potentials

David Hasler, Richard Froese, Wolfgang Spitzer

arxiv:0912.0294 v1 · 2009-12-01 · 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{TJ2LEJ3U3JWJ4NUVGOG2JNVM33}

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	2026-05-18T02:10:34.833131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a74b22774da6c9e3695338da4b6acdeceaa4830839fc33339e58f0b16976682

Aliases

arxiv: 0912.0294 · arxiv_version: 0912.0294v1 · doi: 10.48550/arxiv.0912.0294 · pith_short_12: TJ2LEJ3U3JWJ · pith_short_16: TJ2LEJ3U3JWJ4NUV · pith_short_8: TJ2LEJ3U

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/TJ2LEJ3U3JWJ4NUVGOG2JNVM33 \
  | 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: 9a74b22774da6c9e3695338da4b6acdeceaa4830839fc33339e58f0b16976682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717366a5116d2bb01b5a3084cce4e21d49cb96a9febf41fe4d2270ae5a6c987b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-01T22:49:42Z",
    "title_canon_sha256": "23dcaa486a142261d6acbadb672a57e79fe13fa41a07126ccf9387f05c9b685b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0294",
    "kind": "arxiv",
    "version": 1
  }
}