Pith Number

pith:3AYOVHEE

pith:2011:3AYOVHEERYKDVC6BLGOZQICEUD

not attested not anchored not stored refs pending

Uniqueness Results for Schroedinger Operators on the Line with Purely Discrete Spectra

Gerald Teschl, Jonathan Eckhardt

arxiv:1110.2453 v2 · 2011-10-11 · 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{3AYOVHEERYKDVC6BLGOZQICEUD}

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	2026-05-18T03:27:01.847536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d830ea9c848e143a8bc1599d982044a0f1dddfa485e78034d11474391901cf4d

Aliases

arxiv: 1110.2453 · arxiv_version: 1110.2453v2 · doi: 10.48550/arxiv.1110.2453 · pith_short_12: 3AYOVHEERYKD · pith_short_16: 3AYOVHEERYKDVC6B · pith_short_8: 3AYOVHEE

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/3AYOVHEERYKDVC6BLGOZQICEUD \
  | 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: d830ea9c848e143a8bc1599d982044a0f1dddfa485e78034d11474391901cf4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3239fed3d65daf3d4711d1e7a52a4e60c8bf5ea07ca569c71d326662fed0e35f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-11T17:43:51Z",
    "title_canon_sha256": "d951594f497ecf0f1ee24c03037cbe8ec729b09b23a1ede4824cd1462f31812f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2453",
    "kind": "arxiv",
    "version": 2
  }
}