Pith Number

pith:NG2EO7VQ

pith:2017:NG2EO7VQBASRFSCDUMYMZDJGMN

not attested not anchored not stored refs pending

Algebraic orthogonality and commuting projections in operator algebras

Anil Kumar Karn

arxiv:1704.07631 v2 · 2017-04-25 · 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{NG2EO7VQBASRFSCDUMYMZDJGMN}

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	2026-05-18T00:27:52.623212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b4477eb0082512c843a330cc8d2663681a69cda9890a90b83c0f76a6ea8973

Aliases

arxiv: 1704.07631 · arxiv_version: 1704.07631v2 · doi: 10.48550/arxiv.1704.07631 · pith_short_12: NG2EO7VQBASR · pith_short_16: NG2EO7VQBASRFSCD · pith_short_8: NG2EO7VQ

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/NG2EO7VQBASRFSCDUMYMZDJGMN \
  | 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: 69b4477eb0082512c843a330cc8d2663681a69cda9890a90b83c0f76a6ea8973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c164217921571ce9c98a9bdd67316f1b659d850773c13c443b293fe4301221f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-25T11:05:18Z",
    "title_canon_sha256": "bb079e930117847984d5dbd23992692ec70da53b1cf346a6ff2b8c5814b1ee9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07631",
    "kind": "arxiv",
    "version": 2
  }
}