Pith Number

pith:XZFIFPJE

pith:2007:XZFIFPJELC3PAZI6G4IMDANALX

not attested not anchored not stored refs pending

On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees

Gerald Teschl, Michael Schmied, Robert Sims

arxiv:0712.2323 v2 · 2007-12-14 · 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{XZFIFPJELC3PAZI6G4IMDANALX}

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	2026-05-18T03:06:05.770723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be4a82bd2458b6f0651e3710c181a05df8543fd1477638345b6e5ebf1e8dab2b

Aliases

arxiv: 0712.2323 · arxiv_version: 0712.2323v2 · doi: 10.48550/arxiv.0712.2323 · pith_short_12: XZFIFPJELC3P · pith_short_16: XZFIFPJELC3PAZI6 · pith_short_8: XZFIFPJE

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/XZFIFPJELC3PAZI6G4IMDANALX \
  | 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: be4a82bd2458b6f0651e3710c181a05df8543fd1477638345b6e5ebf1e8dab2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c59ffd13533e963b6494d0c22974c95405f7f06b415fcd9729e72a000df662",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-12-14T11:32:08Z",
    "title_canon_sha256": "6434048704e1e17449e03ea02f05eeb5e3c493f840ff2d64a037d466202d66d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2323",
    "kind": "arxiv",
    "version": 2
  }
}