Pith Number

pith:2SZAXUFB

pith:2015:2SZAXUFBAX7UDDKZNIMORXXABM

not attested not anchored not stored refs pending

Dilations, Wandering Subspaces, and Inner Functions

Dinesh K. Keshari, Jaydeb Sarkar, J. Eschmeier, M. Bhattacharjee

arxiv:1509.07084 v2 · 2015-09-23 · math.FA · math.CV · 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{2SZAXUFBAX7UDDKZNIMORXXABM}

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	2026-05-18T01:02:04.884831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b20bd0a105ff418d596a18e8dee00b0ab7e0992105382d8ddac05b6160faad

Aliases

arxiv: 1509.07084 · arxiv_version: 1509.07084v2 · doi: 10.48550/arxiv.1509.07084 · pith_short_12: 2SZAXUFBAX7U · pith_short_16: 2SZAXUFBAX7UDDKZ · pith_short_8: 2SZAXUFB

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/2SZAXUFBAX7UDDKZNIMORXXABM \
  | 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: d4b20bd0a105ff418d596a18e8dee00b0ab7e0992105382d8ddac05b6160faad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517da4f7032b856814f3e15736fd4abb3dcf752a53792f0fd82b7859d76f080f",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-23T18:24:21Z",
    "title_canon_sha256": "df7d6a208d7c01c179af7d625beabb54c4ec193729722084d847ff880669f03c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07084",
    "kind": "arxiv",
    "version": 2
  }
}