Pith Number

pith:HG67HYZW

pith:2026:HG67HYZWSKO3ENDGENYMLSO5MN

not attested not anchored not stored refs pending

Spaces of UCP maps and subalgebras of von Neumann algebras

Fran\c{c}ois Le Ma\^itre, Issan Patri, Kunal Mukherjee, Pierre Fima

arxiv:2607.14358 v1 · 2026-07-15 · 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{HG67HYZWSKO3ENDGENYMLSO5MN}

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	2026-07-17T00:21:07.677833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39bdf3e336929db234662370c5c9dd63417faed587c4b8e591c42a3ba48a3dfb

Aliases

arxiv: 2607.14358 · arxiv_version: 2607.14358v1 · doi: 10.48550/arxiv.2607.14358 · pith_short_12: HG67HYZWSKO3 · pith_short_16: HG67HYZWSKO3ENDG · pith_short_8: HG67HYZW

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/HG67HYZWSKO3ENDGENYMLSO5MN \
  | 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: 39bdf3e336929db234662370c5c9dd63417faed587c4b8e591c42a3ba48a3dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081268f4b335168dc36d816ed4975aaa4ad31ddd75d893680b0e1c31ed9b35f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-15T20:45:28Z",
    "title_canon_sha256": "c7a55483c69fe030e228f8be45460b024eaf090abca51aa7347753e77e19b906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14358",
    "kind": "arxiv",
    "version": 1
  }
}