Pith Number

pith:2P7XYIOS

pith:2026:2P7XYIOSY7XRZG2ULDBB57SWYY

not attested not anchored not stored refs pending

Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics

E. Shine Lal, K Krishnan, T. Prasad

arxiv:2608.06032 v1 · 2026-08-06 · 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{2P7XYIOSY7XRZG2ULDBB57SWYY}

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	2026-08-07T00:55:09.153578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ff7c21d2c7ef1c9b5458c21efe56c621ffa0ba4c8f7512a88eca0fb94f209a

Aliases

arxiv: 2608.06032 · arxiv_version: 2608.06032v1 · doi: 10.48550/arxiv.2608.06032 · pith_short_12: 2P7XYIOSY7XR · pith_short_16: 2P7XYIOSY7XRZG2U · pith_short_8: 2P7XYIOS

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/2P7XYIOSY7XRZG2ULDBB57SWYY \
  | 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: d3ff7c21d2c7ef1c9b5458c21efe56c621ffa0ba4c8f7512a88eca0fb94f209a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26190d472d2bbc0bd96738c4da60bc8eaf72c67618657bbc1bef161c446acd22",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-08-06T13:40:11Z",
    "title_canon_sha256": "e09c89e3d63d99fd3d4c97aa2909acdeb8a145f7f615a6197aad30a0598083a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06032",
    "kind": "arxiv",
    "version": 1
  }
}