Pith Number

pith:X2ORBG53

pith:2026:X2ORBG53MHPMCDWOGAROX4TEBQ

not attested not anchored not stored refs pending

On the Dilation Theory and Canonical Decomposition of $\mathbf{\Theta}_n$-Contractions

Aparna Gupta, Avijit Pal, Bhaskar Paul

arxiv:2608.03574 v1 · 2026-08-04 · math.FA · math.CV

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\usepackage{pith}
\pithnumber{X2ORBG53MHPMCDWOGAROX4TEBQ}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-08-05T01:36:40.489981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be9d109bbb61dec10ece3022ebf2640c04b1abdca5d6e3071d981fa963f929ba

Aliases

arxiv: 2608.03574 · arxiv_version: 2608.03574v1 · doi: 10.48550/arxiv.2608.03574 · pith_short_12: X2ORBG53MHPM · pith_short_16: X2ORBG53MHPMCDWO · pith_short_8: X2ORBG53

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/X2ORBG53MHPMCDWOGAROX4TEBQ \
  | 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: be9d109bbb61dec10ece3022ebf2640c04b1abdca5d6e3071d981fa963f929ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642272833020fefb651c9ebc0badec66bed1ab88d5e7f69949dbf8f67ad8be06",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-08-04T12:32:26Z",
    "title_canon_sha256": "2e2332fa836bba15bfa71d15f1c01b795b1953bcdb044dc89bae927596c9dde7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03574",
    "kind": "arxiv",
    "version": 1
  }
}