Pith Number

pith:W2U7R4VL

pith:2004:W2U7R4VL74MLA5MSVPUG7WC5RB

not attested not anchored not stored refs pending

Schroedinger Operators With Few Bound States

Barry Simon (Caltech), David Damanik (Caltech), Rowan Killip (UCLA)

arxiv:math-ph/0409074 v2 · 2004-09-28 · math-ph · math.MP · 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{W2U7R4VL74MLA5MSVPUG7WC5RB}

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	2026-05-18T02:30:23.186238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6a9f8f2abff18b07592abe86fd85d88564575eb6b0fccc8a6c5ff3d68dbcb63

Aliases

arxiv: math-ph/0409074 · arxiv_version: math-ph/0409074v2 · doi: 10.48550/arxiv.math-ph/0409074 · pith_short_12: W2U7R4VL74ML · pith_short_16: W2U7R4VL74MLA5MS · pith_short_8: W2U7R4VL

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/W2U7R4VL74MLA5MSVPUG7WC5RB \
  | 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: b6a9f8f2abff18b07592abe86fd85d88564575eb6b0fccc8a6c5ff3d68dbcb63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040adf36d39a07fdbb45e49219a5a5ec22c5dd3b4854523dec1c5df18bfc9cbd",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-09-28T21:46:46Z",
    "title_canon_sha256": "5f5888cf2a61e82bc514cd98ca0db5a1c684169201ad06a4fb5044e856af4fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0409074",
    "kind": "arxiv",
    "version": 2
  }
}