Pith Number

pith:IHPN2NPB

pith:2012:IHPN2NPBUZNDUM27ZG3FYXINC7

not attested not anchored not stored refs pending

Note on the spectrum of discrete Schr\"odinger operators

Akito Suzuki, Fumio Hiroshima, Itaru Sasaki, Tomoyuki Shirai

arxiv:1209.0522 v1 · 2012-09-04 · 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{IHPN2NPBUZNDUM27ZG3FYXINC7}

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	2026-05-18T03:46:17.942034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41dedd35e1a65a3a335fc9b65c5d0d17d8de3961b4433a2dbc23e0cb521c9e2b

Aliases

arxiv: 1209.0522 · arxiv_version: 1209.0522v1 · doi: 10.48550/arxiv.1209.0522 · pith_short_12: IHPN2NPBUZND · pith_short_16: IHPN2NPBUZNDUM27 · pith_short_8: IHPN2NPB

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/IHPN2NPBUZNDUM27ZG3FYXINC7 \
  | 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: 41dedd35e1a65a3a335fc9b65c5d0d17d8de3961b4433a2dbc23e0cb521c9e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e9992231a616f1b8eb2a3e160b692e60fee1c5ea021ec2e73f93d0347b02c2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-04T03:24:05Z",
    "title_canon_sha256": "ef3bbbf87acdbe2ad944c3d3a06999648a271476d870e0090172c4a61374fd59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0522",
    "kind": "arxiv",
    "version": 1
  }
}