Pith Number

pith:YQHGL5RN

pith:2018:YQHGL5RNIBQZS457KLCUKJCMLC

not attested not anchored not stored refs pending

Frame Multipliers for discrete frames on Quaternionic Hilbert Spaces

K. Thirulogasanthar, M. Khokulan

arxiv:1805.01594 v1 · 2018-05-04 · math.FA · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQHGL5RNIBQZS457KLCUKJCMLC}

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	2026-05-18T00:16:47.353039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40e65f62d40619973bf52c545244c58838784346235b9d0160b221cd21377ba

Aliases

arxiv: 1805.01594 · arxiv_version: 1805.01594v1 · doi: 10.48550/arxiv.1805.01594 · pith_short_12: YQHGL5RNIBQZ · pith_short_16: YQHGL5RNIBQZS457 · pith_short_8: YQHGL5RN

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/YQHGL5RNIBQZS457KLCUKJCMLC \
  | 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: c40e65f62d40619973bf52c545244c58838784346235b9d0160b221cd21377ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ba1d6681e3a6b249c360df3d28fb88c05df6c5b94693bd2db3b06ed7684daf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-04T03:13:32Z",
    "title_canon_sha256": "5faba8c25eef79513b0d664d96568c410ea8a1e5d6cadd50d5a5d0b435be3144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01594",
    "kind": "arxiv",
    "version": 1
  }
}