Pith Number

pith:NILV7KHH

pith:2026:NILV7KHHJBHTKQQVERLCJTVUT6

not attested not anchored not stored refs pending

Commutant lifting and interpolation on quotients of bounded symmetric domains

Milan Kumar Mal

arxiv:2606.06051 v1 · 2026-06-04 · 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{NILV7KHHJBHTKQQVERLCJTVUT6}

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	2026-06-05T01:15:31.580941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a175fa8e7484f354215245624ceb49faab27f862b3be896b81f12d84b80d4aa

Aliases

arxiv: 2606.06051 · arxiv_version: 2606.06051v1 · doi: 10.48550/arxiv.2606.06051 · pith_short_12: NILV7KHHJBHT · pith_short_16: NILV7KHHJBHTKQQV · pith_short_8: NILV7KHH

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/NILV7KHHJBHTKQQVERLCJTVUT6 \
  | 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: 6a175fa8e7484f354215245624ceb49faab27f862b3be896b81f12d84b80d4aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00d9890cae8145883de3ec9c5cc34034e0c0a3f712262990c42800f4bbaa317",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-04T11:48:12Z",
    "title_canon_sha256": "3e8acf704a07c67bcfbd39eb880168d1ec17067ef4dedd4ed50ba66d9dbdb997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06051",
    "kind": "arxiv",
    "version": 1
  }
}