Pith Number

pith:AMAT3QML

pith:2026:AMAT3QMLNOUOE7OAHMW5B6S3F3

not attested not anchored not stored refs pending

Fujita exponents on quantum Euclidean spaces

Edward McDonald, Kanat Tulenov, Michael Ruzhansky, Serikbol Shaimardan

arxiv:2601.16053 v2 · 2026-01-22 · math.AP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMAT3QMLNOUOE7OAHMW5B6S3F3}

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	2026-06-03T01:05:48.029098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03013dc18b6ba8e27dc03b2dd0fa5b2ee6ef7c582ba9f62678ae876a3fec55fd

Aliases

arxiv: 2601.16053 · arxiv_version: 2601.16053v2 · doi: 10.48550/arxiv.2601.16053 · pith_short_12: AMAT3QMLNOUO · pith_short_16: AMAT3QMLNOUOE7OA · pith_short_8: AMAT3QML

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/AMAT3QMLNOUOE7OAHMW5B6S3F3 \
  | 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: 03013dc18b6ba8e27dc03b2dd0fa5b2ee6ef7c582ba9f62678ae876a3fec55fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f543b4e739ccd5cc6f1746932f0ff14320ae0f61a307c714f29f7c95eab8c93f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-01-22T15:36:02Z",
    "title_canon_sha256": "f6fdeb834a65f922902d8c1917e2fcd3da257a1f3455678e22c384b4f3b653b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.16053",
    "kind": "arxiv",
    "version": 2
  }
}