Pith Number

pith:ZP53K32G

pith:2026:ZP53K32GETTMOOYCN7UXFTYRUN

not attested not anchored not stored refs pending

Dilation and Functional Models for Pure $\mathbf{\Theta}_n$-Contractions and the von Neumann Inequality on Distinguished Varieties in $\mathbf{\Theta}_n$

Aparna Gupta, Bhaskar Paul, Shubhankar Mandal Avijit Pal

arxiv:2608.13366 v1 · 2026-08-13 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZP53K32GETTMOOYCN7UXFTYRUN}

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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	2026-08-14T01:04:18.271666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbfbb56f4624e6c73b026fe972cf11a37b342c76038db6ff29b2e097620b6ade

Aliases

arxiv: 2608.13366 · arxiv_version: 2608.13366v1 · doi: 10.48550/arxiv.2608.13366 · pith_short_12: ZP53K32GETTM · pith_short_16: ZP53K32GETTMOOYC · pith_short_8: ZP53K32G

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/ZP53K32GETTMOOYCN7UXFTYRUN \
  | 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: cbfbb56f4624e6c73b026fe972cf11a37b342c76038db6ff29b2e097620b6ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add182031647ea8c722bd94a15f6b9c6c209ba08b7e9942e5f4cd48e3ca80b37",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-08-13T15:31:14Z",
    "title_canon_sha256": "4136debcd3e20a3ed3686ac780ff2b2ae952d8590881762f5823ba79b4b0186f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13366",
    "kind": "arxiv",
    "version": 1
  }
}