Pith Number

pith:FO2QCR5M

pith:2011:FO2QCR5M5V2GHUKR2QK7CWKLRA

not attested not anchored not stored refs pending

Model Theory of a Hilbert Space Expanded with an Unbounded Closed Selfadjoint Operator

Camilo Argoty

arxiv:1102.2454 v5 · 2011-02-11 · math.LO · 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{FO2QCR5M5V2GHUKR2QK7CWKLRA}

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	2026-05-18T04:20:37.933409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb50147aced7463d151d415f1594b883b9270cce8decada9792d97ed499a373

Aliases

arxiv: 1102.2454 · arxiv_version: 1102.2454v5 · doi: 10.48550/arxiv.1102.2454 · pith_short_12: FO2QCR5M5V2G · pith_short_16: FO2QCR5M5V2GHUKR · pith_short_8: FO2QCR5M

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/FO2QCR5M5V2GHUKR2QK7CWKLRA \
  | 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: 2bb50147aced7463d151d415f1594b883b9270cce8decada9792d97ed499a373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860f18f7efe4709329ca0910493d9c97a675bfdc4a9407727fcb81ced49b244d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-02-11T23:04:53Z",
    "title_canon_sha256": "afb657e422bbbe94b5d47017474e2998f38fab65bf7a2520abf3ae7fbd4e9457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2454",
    "kind": "arxiv",
    "version": 5
  }
}