Pith Number

pith:4KS4Z7TV

pith:2024:4KS4Z7TVBDBCJT6C3X7EM6OFZO

not attested not anchored not stored refs pending

Unique Pseudo-Expectations for Hereditarily Essential $C^*$-Inclusions

Vrej Zarikian

arxiv:2406.19484 v2 · 2024-06-27 · 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{4KS4Z7TVBDBCJT6C3X7EM6OFZO}

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.

Cited by

1 paper in Pith

On the inclusion $\cO_2 \subset \cQ_2$

Receipt and verification

First computed	2026-07-05T10:02:04.696692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a5ccfe7508c224cfc2ddfe4679c5cbac91aa4327de9dd70c34e94835bd1c1b

Aliases

arxiv: 2406.19484 · arxiv_version: 2406.19484v2 · doi: 10.48550/arxiv.2406.19484 · pith_short_12: 4KS4Z7TVBDBC · pith_short_16: 4KS4Z7TVBDBCJT6C · pith_short_8: 4KS4Z7TV

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/4KS4Z7TVBDBCJT6C3X7EM6OFZO \
  | 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: e2a5ccfe7508c224cfc2ddfe4679c5cbac91aa4327de9dd70c34e94835bd1c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbb4091d66ee0ca6e5b183cba1620a01b524e1b801edf8d17448673291bb0dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-06-27T18:57:43Z",
    "title_canon_sha256": "31bb17373d0d73a48e5bf334ac2310bf89a19bab08a2a3fed98e4531e8ff0bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.19484",
    "kind": "arxiv",
    "version": 2
  }
}