Pith Number

pith:WCMMI5IK

pith:2011:WCMMI5IKLLABDDVLNY57ML7YL4

not attested not anchored not stored refs pending

Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problem

Alexei Iantchenko, Evgeny Korotyaev

arxiv:1105.3397 v2 · 2011-05-17 · 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{WCMMI5IKLLABDDVLNY57ML7YL4}

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	2026-05-18T04:12:02.000254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b098c4750a5ac0118eab6e3bf62ff85f0fcd5659f3833377efe24346e77d6c6b

Aliases

arxiv: 1105.3397 · arxiv_version: 1105.3397v2 · doi: 10.48550/arxiv.1105.3397 · pith_short_12: WCMMI5IKLLAB · pith_short_16: WCMMI5IKLLABDDVL · pith_short_8: WCMMI5IK

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/WCMMI5IKLLABDDVLNY57ML7YL4 \
  | 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: b098c4750a5ac0118eab6e3bf62ff85f0fcd5659f3833377efe24346e77d6c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a55bd0ccfc336c561000a874928de35bc8e8b0c44695d4adbfe5dafa89439d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-05-17T14:29:07Z",
    "title_canon_sha256": "4f37bc7db80b5db3a229741195f4f9355cea12126152e30a1d4d5a338189ce6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3397",
    "kind": "arxiv",
    "version": 2
  }
}