Pith Number

pith:KGQSVSHQ

pith:2016:KGQSVSHQMPIVPR5DEDFGDA2EBY

not attested not anchored not stored refs pending

Quaternionic Fock space on slice hyperholomorphic functions

Khalid Manzoor, Sanjay Kumar, S. D. Sharma

arxiv:1611.05199 v1 · 2016-11-16 · 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{KGQSVSHQMPIVPR5DEDFGDA2EBY}

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	2026-05-18T00:58:27.697302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a12ac8f063d157c7a320ca6183440e02b4f77da1e72ac366bccac94ec05b85

Aliases

arxiv: 1611.05199 · arxiv_version: 1611.05199v1 · doi: 10.48550/arxiv.1611.05199 · pith_short_12: KGQSVSHQMPIV · pith_short_16: KGQSVSHQMPIVPR5D · pith_short_8: KGQSVSHQ

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/KGQSVSHQMPIVPR5DEDFGDA2EBY \
  | 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: 51a12ac8f063d157c7a320ca6183440e02b4f77da1e72ac366bccac94ec05b85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d6b19bfd6fd8f7f69463f95ef5aa4aca8bd06364be6eea85b3552f317b4439",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-16T10:00:17Z",
    "title_canon_sha256": "0a0b9acfbca2ce44bf9ba692ccea3e7a06c859cc395fef4f8b0208bb3c5770e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05199",
    "kind": "arxiv",
    "version": 1
  }
}