Pith Number

pith:VBE424J4

pith:2001:VBE424J4MSSREOCH27RR5IWGOX

not attested not anchored not stored refs pending

Imbedded Singular Continuous Spectrum for Schr\"odinger Operators

A. Kiselev

arxiv:math/0111200 v1 · 2001-11-19 · 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{VBE424J4MSSREOCH27RR5IWGOX}

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	2026-07-04T14:35:45.697522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a849cd713c64a5123847d7e31ea2c675e49870ed63a48b48efc98c991a2a5b4b

Aliases

arxiv: math/0111200 · arxiv_version: math/0111200v1 · doi: 10.48550/arxiv.math/0111200 · pith_short_12: VBE424J4MSSR · pith_short_16: VBE424J4MSSREOCH · pith_short_8: VBE424J4

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/VBE424J4MSSREOCH27RR5IWGOX \
  | 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: a849cd713c64a5123847d7e31ea2c675e49870ed63a48b48efc98c991a2a5b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f96746e71828713d0a145edd3f818934640d8594da3ff9defba133ac214ec4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2001-11-19T03:02:38Z",
    "title_canon_sha256": "589403bf639c6c4befb0a923f82cfc9a947f241ce23acede5b8c63bacef3cf7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111200",
    "kind": "arxiv",
    "version": 1
  }
}