Pith Number

pith:T5GG3XJU

pith:2018:T5GG3XJUF2BBVKVN3HPNWOI36R

not attested not anchored not stored refs pending

Cyclic row contractions and rigidity of invariant subspaces

Edward J. Timko, Rapha\"el Clou\^atre

arxiv:1809.02593 v1 · 2018-09-07 · 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{T5GG3XJUF2BBVKVN3HPNWOI36R}

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	2026-05-18T00:06:16.675454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4c6ddd342e821aaaadd9dedb391bf47e78d864f9d5c377356d1c6c538c166d

Aliases

arxiv: 1809.02593 · arxiv_version: 1809.02593v1 · doi: 10.48550/arxiv.1809.02593 · pith_short_12: T5GG3XJUF2BB · pith_short_16: T5GG3XJUF2BBVKVN · pith_short_8: T5GG3XJU

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/T5GG3XJUF2BBVKVN3HPNWOI36R \
  | 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: 9f4c6ddd342e821aaaadd9dedb391bf47e78d864f9d5c377356d1c6c538c166d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5df4d60674498ec184ade35bb441b5265051c75ad429012ae38a116ca4d88923",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-07T17:37:21Z",
    "title_canon_sha256": "4c23de4464d60bd34d12975e45f4395cddee1feb37eba2376d22b83a747004f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02593",
    "kind": "arxiv",
    "version": 1
  }
}