Pith Number

pith:WHNZZAXN

pith:2023:WHNZZAXN7MHVRK4RPEQ4XGFP3U

not attested not anchored not stored refs pending

Commutant lifting, interpolation, and perturbations on the polydisc

Deepak K. D., Jaydeb Sarkar

arxiv:2301.10020 v3 · 2023-01-24 · math.FA · math.CV · 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{WHNZZAXN7MHVRK4RPEQ4XGFP3U}

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

Function theory of the hexablock and applications to the tetrablock and Euclidean biball

Receipt and verification

First computed	2026-07-05T12:05:56.775210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1db9c82edfb0f58ab917921cb98afdd32000a5b9922d277f194fd3a5f4d5969

Aliases

arxiv: 2301.10020 · arxiv_version: 2301.10020v3 · doi: 10.48550/arxiv.2301.10020 · pith_short_12: WHNZZAXN7MHV · pith_short_16: WHNZZAXN7MHVRK4R · pith_short_8: WHNZZAXN

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/WHNZZAXN7MHVRK4RPEQ4XGFP3U \
  | 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: b1db9c82edfb0f58ab917921cb98afdd32000a5b9922d277f194fd3a5f4d5969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68e7aec01ae6151dc25fd371d908805257d8b1640c23927d35ad39acb5fd5f98",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-01-24T14:06:04Z",
    "title_canon_sha256": "bb8ad5858689ed3aec2cc1a578bb90a0bf09a52d6532f2d303c66a251ad786ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.10020",
    "kind": "arxiv",
    "version": 3
  }
}