Pith Number

pith:CTNIRQGB

pith:2026:CTNIRQGBUB5MQNRHW23HMVZUDF

not attested not anchored not stored refs pending

Algebraic Kolmogorov--Arnold representation theorem for quantum measurement

Sviatoslav V. Dzhenzher

arxiv:2606.09584 v1 · 2026-06-08 · quant-ph · 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{CTNIRQGBUB5MQNRHW23HMVZUDF}

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	2026-06-09T02:08:57.383692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14da88c0c1a07ac83627b6b676573419671d1c54517cedd3f2fde459560d595c

Aliases

arxiv: 2606.09584 · arxiv_version: 2606.09584v1 · doi: 10.48550/arxiv.2606.09584 · pith_short_12: CTNIRQGBUB5M · pith_short_16: CTNIRQGBUB5MQNRH · pith_short_8: CTNIRQGB

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/CTNIRQGBUB5MQNRHW23HMVZUDF \
  | 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: 14da88c0c1a07ac83627b6b676573419671d1c54517cedd3f2fde459560d595c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f3cc94bb43cf148ed1b6a9f7cd1229ae30952bacc777f78f36ea7907e5cd25",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-08T14:57:41Z",
    "title_canon_sha256": "e11a51e3ecac171e971bf9b9243bc4ca5b4984ef79f7ceba94be319e38c1e4cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09584",
    "kind": "arxiv",
    "version": 1
  }
}