Pith Number

pith:FC65TWTK

pith:2024:FC65TWTKKGS5VQLD3FXKTAMGWW

not attested not anchored not stored refs pending

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators

Caixing Gu, Hyoung Joon Kim, In Sung Hwang, Jaehui Park, Woo Young Lee

arxiv:2411.13177 v1 · 2024-11-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FC65TWTKKGS5VQLD3FXKTAMGWW}

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	2026-07-05T09:38:06.359812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28bdd9da6a51a5dac163d96ea98186b58e01795fea171181f17ced5dcc270781

Aliases

arxiv: 2411.13177 · arxiv_version: 2411.13177v1 · doi: 10.48550/arxiv.2411.13177 · pith_short_12: FC65TWTKKGS5 · pith_short_16: FC65TWTKKGS5VQLD · pith_short_8: FC65TWTK

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/FC65TWTKKGS5VQLD3FXKTAMGWW \
  | 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: 28bdd9da6a51a5dac163d96ea98186b58e01795fea171181f17ced5dcc270781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8345877f7b87425dd01bff21f0633ef6ab4bbce9e130689387c59ea6139f84f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-11-20T10:21:37Z",
    "title_canon_sha256": "1015cc95af1f829e9d2d9aed297febbe44836735a22ce0308c22469d90c94a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13177",
    "kind": "arxiv",
    "version": 1
  }
}