Pith Number

pith:CJGK7MRA

pith:2019:CJGK7MRAHD4ADXV45O3FBAGJKC

not attested not anchored not stored refs pending

Unitary equivalence of operator-valued multishifts

Rajeev Gupta, Shailesh Trivedi, Surjit Kumar

arxiv:1904.00983 v1 · 2019-04-01 · 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{CJGK7MRAHD4ADXV45O3FBAGJKC}

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	2026-05-17T23:49:44.713401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124cafb22038f801debcebb65080c9509db9f68257e83c373a4e4b4b6ea1ee08

Aliases

arxiv: 1904.00983 · arxiv_version: 1904.00983v1 · doi: 10.48550/arxiv.1904.00983 · pith_short_12: CJGK7MRAHD4A · pith_short_16: CJGK7MRAHD4ADXV4 · pith_short_8: CJGK7MRA

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/CJGK7MRAHD4ADXV45O3FBAGJKC \
  | 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: 124cafb22038f801debcebb65080c9509db9f68257e83c373a4e4b4b6ea1ee08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8907284ea94b746356697cb97ca2fb50d48a16251984a48b5121a84d01f861e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-01T17:40:35Z",
    "title_canon_sha256": "95395474d27995ded05919168f03722b9d7604e36e1bc1311dd1cdabd19045f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00983",
    "kind": "arxiv",
    "version": 1
  }
}