Pith Number

pith:DCBR3B6H

pith:2017:DCBR3B6HILNRYY6FGYBQWZWAKS

not attested not anchored not stored refs pending

Absence of eigenvalues of two-dimensional magnetic Schroedinger operators

David Krejcirik, Luca Fanelli, Luis Vega

arxiv:1710.06176 v1 · 2017-10-17 · math.SP · math-ph · math.AP · 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{DCBR3B6HILNRYY6FGYBQWZWAKS}

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	2026-05-18T00:00:09.074071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18831d87c742db1c63c536030b66c054a3cf0c5ced5321a4bb45de8d8d4211cb

Aliases

arxiv: 1710.06176 · arxiv_version: 1710.06176v1 · doi: 10.48550/arxiv.1710.06176 · pith_short_12: DCBR3B6HILNR · pith_short_16: DCBR3B6HILNRYY6F · pith_short_8: DCBR3B6H

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/DCBR3B6HILNRYY6FGYBQWZWAKS \
  | 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: 18831d87c742db1c63c536030b66c054a3cf0c5ced5321a4bb45de8d8d4211cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aeed5c4e6a1feb60354eff75e7f6964b374cf07805286d6055940457fa3a084",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-17T09:15:12Z",
    "title_canon_sha256": "39ce9e65297fd613a0da19cd95fe8289b982750a5645833ef597fc1e4413333e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06176",
    "kind": "arxiv",
    "version": 1
  }
}