Pith Number

pith:Y7XP4JHK

pith:2012:Y7XP4JHK3VACQS33HAWRBGPBWE

not attested not anchored not stored refs pending

A Rellich Type Theorem for Discrete Schr{\"o}dinger Operators

Hiroshi Isozaki, Hisashi Morioka

arxiv:1208.4428 v2 · 2012-08-22 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y7XP4JHK3VACQS33HAWRBGPBWE}

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	2026-05-18T03:17:44.659068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7eefe24eadd40284b7b382d1099e1b1298c02a0e5d4040aa82a575db2180694

Aliases

arxiv: 1208.4428 · arxiv_version: 1208.4428v2 · doi: 10.48550/arxiv.1208.4428 · pith_short_12: Y7XP4JHK3VAC · pith_short_16: Y7XP4JHK3VACQS33 · pith_short_8: Y7XP4JHK

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/Y7XP4JHK3VACQS33HAWRBGPBWE \
  | 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: c7eefe24eadd40284b7b382d1099e1b1298c02a0e5d4040aa82a575db2180694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53dd3cee28803eb7a53c018e10e9fba2eef045abe1162448f7a86e30df3f5d9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-08-22T06:09:16Z",
    "title_canon_sha256": "01b5b480d4e7b5300b5897c4b42ba44c9fcabc49ba3317af32d19b1e7af90dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4428",
    "kind": "arxiv",
    "version": 2
  }
}