Pith Number

pith:GDSE3O7P

pith:2017:GDSE3O7PX6GOGQC2JTVS3GCLNH

not attested not anchored not stored refs pending

Aluthge transforms of 2-variable weighted shifts

Jasang Yoon, Raul E. Curto

arxiv:1706.03297 v1 · 2017-06-11 · 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{GDSE3O7PX6GOGQC2JTVS3GCLNH}

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	2026-05-17T23:58:50.241061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e44dbbefbf8ce3405a4ceb2d984b69eb03faf692ca61b7135f8e5f3b90e88b

Aliases

arxiv: 1706.03297 · arxiv_version: 1706.03297v1 · doi: 10.48550/arxiv.1706.03297 · pith_short_12: GDSE3O7PX6GO · pith_short_16: GDSE3O7PX6GOGQC2 · pith_short_8: GDSE3O7P

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/GDSE3O7PX6GOGQC2JTVS3GCLNH \
  | 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: 30e44dbbefbf8ce3405a4ceb2d984b69eb03faf692ca61b7135f8e5f3b90e88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d62459fe5d1dfbeffa01e709e12c60a38ccd208c136e81c47cb70b3ba02619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-11T02:13:09Z",
    "title_canon_sha256": "d2c38383a895358ebd8b673850273905268468b8d6228c0e612f248c70f10ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03297",
    "kind": "arxiv",
    "version": 1
  }
}