Pith Number

pith:VVJRQQCF

pith:2024:VVJRQQCFVAVHYFJHGQYILDH5FZ

not attested not anchored not stored refs pending

A Projection Characterization and Symmetry Bootstrap for Elements of a von Neumann Algebra that are Nearby Commuting Elements

David Herrera

arxiv:2412.20795 v1 · 2024-12-30 · math.OA · 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{VVJRQQCFVAVHYFJHGQYILDH5FZ}

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	2026-07-05T09:55:22.395003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad53184045a82a7c15273430858cfd2e55997e6260e3b1ff4c920f2ec7aa4d85

Aliases

arxiv: 2412.20795 · arxiv_version: 2412.20795v1 · doi: 10.48550/arxiv.2412.20795 · pith_short_12: VVJRQQCFVAVH · pith_short_16: VVJRQQCFVAVHYFJH · pith_short_8: VVJRQQCF

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/VVJRQQCFVAVHYFJHGQYILDH5FZ \
  | 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: ad53184045a82a7c15273430858cfd2e55997e6260e3b1ff4c920f2ec7aa4d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f9db496935f7a051909e5e5850fbaa7fc1622c004fb31196bc04670cedb0401",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-12-30T08:33:54Z",
    "title_canon_sha256": "61d0b49a89d4ce6a817e53ed48ccc8d5166de9ac98cd5f8ce802a90b715ce6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20795",
    "kind": "arxiv",
    "version": 1
  }
}