Pith Number

pith:2UVPO5FR

pith:2015:2UVPO5FRPST6G25OVLMVXSJJTD

not attested not anchored not stored refs pending

Inner multipliers and Rudin type invariant subspaces

Arup Chattopadhyay, B. Krishna Das, Jaydeb Sarkar

arxiv:1503.02384 v1 · 2015-03-09 · 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{2UVPO5FRPST6G25OVLMVXSJJTD}

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	2026-05-18T02:25:25.252279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52af774b17ca7e36baeaad95bc92998f0e792029fe430a4c483fdad8430f36d

Aliases

arxiv: 1503.02384 · arxiv_version: 1503.02384v1 · doi: 10.48550/arxiv.1503.02384 · pith_short_12: 2UVPO5FRPST6 · pith_short_16: 2UVPO5FRPST6G25O · pith_short_8: 2UVPO5FR

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/2UVPO5FRPST6G25OVLMVXSJJTD \
  | 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: d52af774b17ca7e36baeaad95bc92998f0e792029fe430a4c483fdad8430f36d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a61520d95aed95e4ff4aede473c9bd36f53976d40db4d993d1ea33a0a4e3c6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-09T07:14:34Z",
    "title_canon_sha256": "3fadf4aa30bb15124644dad5169c9739927e8c9cfb4e542d09626165d690bc4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02384",
    "kind": "arxiv",
    "version": 1
  }
}