Pith Number

pith:OBOGXB3A

pith:2011:OBOGXB3AYOEER45GSMLKHZZVBZ

not attested not anchored not stored refs pending

Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities

Naiara Arrizabalaga

arxiv:1104.1978 v2 · 2011-04-11 · math.AP · 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{OBOGXB3AYOEER45GSMLKHZZVBZ}

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	2026-05-18T03:31:31.092956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

705c6b8760c38848f3a69316a3e7350e4f1304db5aaade7f83910caa9da2a69c

Aliases

arxiv: 1104.1978 · arxiv_version: 1104.1978v2 · doi: 10.48550/arxiv.1104.1978 · pith_short_12: OBOGXB3AYOEE · pith_short_16: OBOGXB3AYOEER45G · pith_short_8: OBOGXB3A

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/OBOGXB3AYOEER45GSMLKHZZVBZ \
  | 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: 705c6b8760c38848f3a69316a3e7350e4f1304db5aaade7f83910caa9da2a69c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e9cf4d8efbec75be80e713bfae4f4e472232c163d2972bb55f2a841598fb04",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-11T15:22:44Z",
    "title_canon_sha256": "abda3cbdfd58b33ebb5a5ec641fd5ccc568a776970e25b04368e97873bb2ed9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1978",
    "kind": "arxiv",
    "version": 2
  }
}