Pith Number

pith:O4NZOB2W

pith:2019:O4NZOB2WA7AYV6UUYDGRRNRA6F

not attested not anchored not stored refs pending

Kato S-spectrum in the quaternionic setting

B. Muraleetharan, K. Thirulogasanthar

arxiv:1904.02977 v1 · 2019-04-05 · 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{O4NZOB2WA7AYV6UUYDGRRNRA6F}

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	2026-05-17T23:49:19.010904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771b97075607c18afa94c0cd18b620f14843ce9c43ea3e3905a754a14289da81

Aliases

arxiv: 1904.02977 · arxiv_version: 1904.02977v1 · doi: 10.48550/arxiv.1904.02977 · pith_short_12: O4NZOB2WA7AY · pith_short_16: O4NZOB2WA7AYV6UU · pith_short_8: O4NZOB2W

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/O4NZOB2WA7AYV6UUYDGRRNRA6F \
  | 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: 771b97075607c18afa94c0cd18b620f14843ce9c43ea3e3905a754a14289da81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0600c3d3466140682ba6a32a6d83306dd368e04d9245cab9c423897c9f6619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-05T10:13:38Z",
    "title_canon_sha256": "d500b9d7f1e1404fa115697dd633c5f9fec7ebc7cb81b1c6c5b5b8a3a65fe198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02977",
    "kind": "arxiv",
    "version": 1
  }
}