Pith Number

pith:R5GENEJO

pith:2026:R5GENEJO57IESZPMTZ44HEMR2H

not attested not anchored not stored refs pending

A complete ultrametric on von Neumann's incomplete tensor products

Andrew Lesniewski

arxiv:2607.09627 v1 · 2026-07-10 · quant-ph · math-ph · math.MP · 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{R5GENEJO57IESZPMTZ44HEMR2H}

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	2026-07-13T01:20:25.093050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4c46912eefd04965ec9e79c39191d1e1e0c894ea609ca06008a2c002390d50

Aliases

arxiv: 2607.09627 · arxiv_version: 2607.09627v1 · doi: 10.48550/arxiv.2607.09627 · pith_short_12: R5GENEJO57IE · pith_short_16: R5GENEJO57IESZPM · pith_short_8: R5GENEJO

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/R5GENEJO57IESZPMTZ44HEMR2H \
  | 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: 8f4c46912eefd04965ec9e79c39191d1e1e0c894ea609ca06008a2c002390d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6543a6c30849e789d79642971f984a9c19c147aa714c2d04826edf6696a281dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-10T17:25:32Z",
    "title_canon_sha256": "6e4ba0f2158c52dde1d905baecaf5523b4d32040d226003ecfd936e1db18d9a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09627",
    "kind": "arxiv",
    "version": 1
  }
}