Pith Number

pith:5Q2ZGZS3

pith:2005:5Q2ZGZS3GYR3WBKDXEQSP4Y4CO

not attested not anchored not stored refs pending

On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices

Luis O. Silva, Ricardo Weder

arxiv:math-ph/0511078 v2 · 2005-11-25 · 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{5Q2ZGZS3GYR3WBKDXEQSP4Y4CO}

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	2026-07-05T01:05:58.712958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3593665b3623bb0543b92127f31c13be012429dd8d4f648dfc4889ba4b6334

Aliases

arxiv: math-ph/0511078 · arxiv_version: math-ph/0511078v2 · doi: 10.48550/arxiv.math-ph/0511078 · pith_short_12: 5Q2ZGZS3GYR3 · pith_short_16: 5Q2ZGZS3GYR3WBKD · pith_short_8: 5Q2ZGZS3

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/5Q2ZGZS3GYR3WBKDXEQSP4Y4CO \
  | 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: ec3593665b3623bb0543b92127f31c13be012429dd8d4f648dfc4889ba4b6334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba56ffa97b6762f645db280f0d6d174120eac709b71d70c561d4cc905601aa03",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-11-25T18:19:14Z",
    "title_canon_sha256": "c3ca99d2cdc7bdffcd0be352c98fc3a79578884d85ccc9fc3144a6b7e20f9fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0511078",
    "kind": "arxiv",
    "version": 2
  }
}