Pith Number

pith:4ATK4MFW

pith:1994:4ATK4MFWORBR2R65G7HDOP2KV7

not attested not anchored not stored refs pending

Isomorphisms between Quantum Group Covariant q-Oscillator Systems Defined for q and 1/q

N. Aizawa

arxiv:hep-th/9403140 v1 · 1994-03-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ATK4MFWORBR2R65G7HDOP2KV7}

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	2026-07-04T15:57:43.056781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e026ae30b674431d47dd37ce373f4aafeaf01abadb658225960285c466338037

Aliases

arxiv: hep-th/9403140 · arxiv_version: hep-th/9403140v1 · doi: 10.48550/arxiv.hep-th/9403140 · pith_short_12: 4ATK4MFWORBR · pith_short_16: 4ATK4MFWORBR2R65 · pith_short_8: 4ATK4MFW

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/4ATK4MFWORBR2R65G7HDOP2KV7 \
  | 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: e026ae30b674431d47dd37ce373f4aafeaf01abadb658225960285c466338037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150aa690c3621fee4c8b9bb307bfca89705e9edfea621c3e19d53d7ee46e8275",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-03-23T11:29:22Z",
    "title_canon_sha256": "1fc0ec3e17b35622206653c76a8d07800390c72c161c57bc2b001f7fae7fa78f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9403140",
    "kind": "arxiv",
    "version": 1
  }
}