Pith Number

pith:NN2BSLYG

pith:2011:NN2BSLYG4LWCJ7AXHAP4AYQSAQ

not attested not anchored not stored refs pending

On determining the domain of the adjoint operator

Michal Wojtylak

arxiv:1102.4969 v2 · 2011-02-24 · math.FA · 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{NN2BSLYG4LWCJ7AXHAP4AYQSAQ}

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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	2026-05-18T04:20:14.323943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b74192f06e2ec24fc17381fc062120405815f8a998288dd713d644e1e011e62

Aliases

arxiv: 1102.4969 · arxiv_version: 1102.4969v2 · doi: 10.48550/arxiv.1102.4969 · pith_short_12: NN2BSLYG4LWC · pith_short_16: NN2BSLYG4LWCJ7AX · pith_short_8: NN2BSLYG

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/NN2BSLYG4LWCJ7AXHAP4AYQSAQ \
  | 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: 6b74192f06e2ec24fc17381fc062120405815f8a998288dd713d644e1e011e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f3f7a3bb0918f46b52498f42262045f2c65fa7c144406295b2b03418b003a2c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-02-24T12:12:55Z",
    "title_canon_sha256": "df697ec9cdee42053e743bba5975027113300da61e2b8aa69de4e141bd805c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4969",
    "kind": "arxiv",
    "version": 2
  }
}