Pith Number

pith:LCY3DFJL

pith:2012:LCY3DFJL7SU3ATLIRTEGXYU3WP

not attested not anchored not stored refs pending

On Almost-Invariant Subspaces and Approximate Commutation

Alexey I. Popov, Heydar Radjavi, Laurent W. Marcoux

arxiv:1204.4621 v1 · 2012-04-20 · 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{LCY3DFJL7SU3ATLIRTEGXYU3WP}

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	2026-05-18T03:57:25.877230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b1b1952bfca9b04d688cc86be29bb3f16bb74c34800554247f280efb198675

Aliases

arxiv: 1204.4621 · arxiv_version: 1204.4621v1 · doi: 10.48550/arxiv.1204.4621 · pith_short_12: LCY3DFJL7SU3 · pith_short_16: LCY3DFJL7SU3ATLI · pith_short_8: LCY3DFJL

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/LCY3DFJL7SU3ATLIRTEGXYU3WP \
  | 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: 58b1b1952bfca9b04d688cc86be29bb3f16bb74c34800554247f280efb198675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d55c468650dacf9503601e13337d81275d37e643fad97dcae781c909722845",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-20T13:19:03Z",
    "title_canon_sha256": "c5be0ded43f1f4859edad057a05285d00ae16b024d062d3bc373612eb2963949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4621",
    "kind": "arxiv",
    "version": 1
  }
}