Pith Number

pith:MDZASPQ5

pith:2011:MDZASPQ5P33LG7O7IZVFA5NOA6

not attested not anchored not stored refs pending

A reflexive HI space with the hereditary Invariant Subspace Property

Pavlos Motakis, Spiros A. Argyros

arxiv:1111.3603 v3 · 2011-11-15 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDZASPQ5P33LG7O7IZVFA5NOA6}

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	2026-05-18T02:38:46.435360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f2093e1d7ef6b37ddf466a5075ae078db491fb22093131fe71e703e1ab6d69

Aliases

arxiv: 1111.3603 · arxiv_version: 1111.3603v3 · doi: 10.48550/arxiv.1111.3603 · pith_short_12: MDZASPQ5P33L · pith_short_16: MDZASPQ5P33LG7O7 · pith_short_8: MDZASPQ5

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/MDZASPQ5P33LG7O7IZVFA5NOA6 \
  | 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: 60f2093e1d7ef6b37ddf466a5075ae078db491fb22093131fe71e703e1ab6d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba73c570223a355f033b3ffbb3103441043842eec9666570e13e184534163a2a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-15T18:14:40Z",
    "title_canon_sha256": "4bfa3d61d395ab100a010d1c95180ef40896c6bc5dc9ce375d0b626f227be2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3603",
    "kind": "arxiv",
    "version": 3
  }
}