Pith Number

pith:M2T55GUF

pith:2011:M2T55GUFFKVIRBK6F6NT4PP2RR

not attested not anchored not stored refs pending

Analyticity and uniform stability in the inverse spectral problem for Dirac operators

Rostyslav O. Hryniv

arxiv:1102.2942 v1 · 2011-02-15 · math.SP · math-ph · math.FA · 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{M2T55GUFFKVIRBK6F6NT4PP2RR}

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	2026-05-18T04:09:44.262343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a7de9a852aaa88855e2f9b3e3dfa8c43a4d07d518e7b9af971d54e453f31bf

Aliases

arxiv: 1102.2942 · arxiv_version: 1102.2942v1 · doi: 10.48550/arxiv.1102.2942 · pith_short_12: M2T55GUFFKVI · pith_short_16: M2T55GUFFKVIRBK6 · pith_short_8: M2T55GUF

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/M2T55GUFFKVIRBK6F6NT4PP2RR \
  | 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: 66a7de9a852aaa88855e2f9b3e3dfa8c43a4d07d518e7b9af971d54e453f31bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf6374af2294b591a64297c622cec3dad6b9f21ffaa913fd48072d40c8c5f13",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-02-15T01:27:24Z",
    "title_canon_sha256": "1f0a430789fc30bd4fdab64133417a5507ce4000a1466afb803ee4dd30a3cd56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2942",
    "kind": "arxiv",
    "version": 1
  }
}