Pith Number

pith:EIJ3JL2N

pith:2011:EIJ3JL2N647E2LM6WFTZF2SWZ3

not attested not anchored not stored refs pending

The spectra of selfadjoint extensions of entire operators with deficiency indices (1,1)

Julio H. Toloza, Luis O. Silva

arxiv:1104.4765 v3 · 2011-04-25 · 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{EIJ3JL2N647E2LM6WFTZF2SWZ3}

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	2026-05-18T03:42:44.872960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2213b4af4df73e4d2d9eb16792ea56cee9173b1f67ddcf5241076c55f49f0236

Aliases

arxiv: 1104.4765 · arxiv_version: 1104.4765v3 · doi: 10.48550/arxiv.1104.4765 · pith_short_12: EIJ3JL2N647E · pith_short_16: EIJ3JL2N647E2LM6 · pith_short_8: EIJ3JL2N

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/EIJ3JL2N647E2LM6WFTZF2SWZ3 \
  | 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: 2213b4af4df73e4d2d9eb16792ea56cee9173b1f67ddcf5241076c55f49f0236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8bae2c01176c07bdc46641796378f91eebe1fd07ab4123548f6d11a630a55d2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-25T18:23:49Z",
    "title_canon_sha256": "2f214b02b7a58152b8233cae316024e666d5a685b2b5e30d19593b45e53c3755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4765",
    "kind": "arxiv",
    "version": 3
  }
}