Pith Number

pith:5V7YX2W7

pith:2002:5V7YX2W7T5YUNN7ON2THP6BJF5

not attested not anchored not stored refs pending

Standard noncommuting and commuting dilations of commuting tuples

B. V. Rajarama Bhat, Santanu Dey, Tirthankar Bhattacharyya

arxiv:math/0204107 v1 · 2002-04-10 · 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{5V7YX2W7T5YUNN7ON2THP6BJF5}

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	2026-05-18T02:51:49.853366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7f8beadf9f7146b7ee6ea677f8292f71798ee694b0fbd7325a370e2c1a5d00

Aliases

arxiv: math/0204107 · arxiv_version: math/0204107v1 · doi: 10.48550/arxiv.math/0204107 · pith_short_12: 5V7YX2W7T5YU · pith_short_16: 5V7YX2W7T5YUNN7O · pith_short_8: 5V7YX2W7

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/5V7YX2W7T5YUNN7ON2THP6BJF5 \
  | 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: ed7f8beadf9f7146b7ee6ea677f8292f71798ee694b0fbd7325a370e2c1a5d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f606b069de90a620554b5a90401c719d33fcea857792a6af1d02f3563f7dbd1f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2002-04-10T09:48:46Z",
    "title_canon_sha256": "7b3be5d64cf3977a9644d10f1fe1ef50f10799effef96e32f7caead8a7c7828d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204107",
    "kind": "arxiv",
    "version": 1
  }
}