Pith Number

pith:VAQ4IMEZ

pith:2007:VAQ4IMEZTRPW6PJQH6ZOTGJG5E

not attested not anchored not stored refs pending

The Two-Spectra Inverse Problem for Semi-Infinite Jacobi Matrices in The Limit-Circle Case

Luis O. Silva, Ricardo Weder

arxiv:0707.1732 v2 · 2007-07-12 · 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{VAQ4IMEZTRPW6PJQH6ZOTGJG5E}

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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	2026-07-04T15:14:15.369123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a821c430999c5f6f3d303fb2e99926e90534226c4075dc17358866c811fd71c7

Aliases

arxiv: 0707.1732 · arxiv_version: 0707.1732v2 · doi: 10.48550/arxiv.0707.1732 · pith_short_12: VAQ4IMEZTRPW · pith_short_16: VAQ4IMEZTRPW6PJQ · pith_short_8: VAQ4IMEZ

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/VAQ4IMEZTRPW6PJQH6ZOTGJG5E \
  | 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: a821c430999c5f6f3d303fb2e99926e90534226c4075dc17358866c811fd71c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeee49f593afa2b146719f42b29df925e46f920cc18a6b00931e830f066c36e8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-07-12T04:16:34Z",
    "title_canon_sha256": "e8d745f09cbb39f7adb9810ce24782d31fe5cb384e359ad90b44b007b057852b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1732",
    "kind": "arxiv",
    "version": 2
  }
}