Pith Number

pith:WOTOWOSE

pith:2026:WOTOWOSEJKADTOLEOBQ64QLIBK

not attested not anchored not stored refs pending

An algebraically closed family of informational n-qubit purity invariants

Christopher S.P. Wever, Giovanni Natale, Markus Frembs, Philipp A. Hoehn

arxiv:2607.24987 v1 · 2026-07-27 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WOTOWOSEJKADTOLEOBQ64QLIBK}

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	2026-07-29T00:24:56.549117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a6eb3a444a8039b9647061ee41680a81b3cd693f09970cd899bdebed2f7325

Aliases

arxiv: 2607.24987 · arxiv_version: 2607.24987v1 · doi: 10.48550/arxiv.2607.24987 · pith_short_12: WOTOWOSEJKAD · pith_short_16: WOTOWOSEJKADTOLE · pith_short_8: WOTOWOSE

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/WOTOWOSEJKADTOLEOBQ64QLIBK \
  | 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: b3a6eb3a444a8039b9647061ee41680a81b3cd693f09970cd899bdebed2f7325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71a755f8f11ff3e6f0037430f9966a645c9a4b3c48785a4148edb2d662053bf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-27T18:40:34Z",
    "title_canon_sha256": "f470861661e6074a1f9209244e5e34423971ed77582609bdbe7b92589e0b9676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24987",
    "kind": "arxiv",
    "version": 1
  }
}