Pith Number

pith:AYY5EJRL

pith:2004:AYY5EJRL6FFRC4EY5EUWTLQMIJ

not attested not anchored not stored refs pending

Schr\"odinger Operators with Many Bound States

Christian Remling (Univ. Osnabr\"uck), David Damanik (Caltech)

arxiv:math-ph/0412091 v1 · 2004-12-26 · 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{AYY5EJRL6FFRC4EY5EUWTLQMIJ}

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	2026-05-18T02:30:23.174183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0631d2262bf14b117098e92969ae0c4278d2f8b7d0428e85f4c186c4940af27b

Aliases

arxiv: math-ph/0412091 · arxiv_version: math-ph/0412091v1 · doi: 10.48550/arxiv.math-ph/0412091 · pith_short_12: AYY5EJRL6FFR · pith_short_16: AYY5EJRL6FFRC4EY · pith_short_8: AYY5EJRL

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/AYY5EJRL6FFRC4EY5EUWTLQMIJ \
  | 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: 0631d2262bf14b117098e92969ae0c4278d2f8b7d0428e85f4c186c4940af27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9420f933686ed404e13b766f740d9d7ed6a1954fafe8ab8663b5a6cab875479e",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-12-26T07:03:44Z",
    "title_canon_sha256": "66f24370494b527c62f7fd7fcf82449a857b1bafdd801ade0445646adf868e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0412091",
    "kind": "arxiv",
    "version": 1
  }
}