Pith Number

pith:KNQT7XCO

pith:2026:KNQT7XCOIWPKS77QY3ZMYTG3PI

not attested not anchored not stored refs pending

Function theory of the hexablock and applications to the tetrablock and Euclidean biball

Nitin Tomar, Sourav Pal

arxiv:2608.00819 v1 · 2026-08-01 · math.CV · math.FA · 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{KNQT7XCOIWPKS77QY3ZMYTG3PI}

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	2026-08-04T01:55:12.266738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53613fdc4e459ea97ff0c6f2cc4cdb7a002130b2551a2a1853fb61c2881b7610

Aliases

arxiv: 2608.00819 · arxiv_version: 2608.00819v1 · doi: 10.48550/arxiv.2608.00819 · pith_short_12: KNQT7XCOIWPK · pith_short_16: KNQT7XCOIWPKS77Q · pith_short_8: KNQT7XCO

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/KNQT7XCOIWPKS77QY3ZMYTG3PI \
  | 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: 53613fdc4e459ea97ff0c6f2cc4cdb7a002130b2551a2a1853fb61c2881b7610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de8bc22d9e130f55d830565bde3c17eb7df1b74f7054419e51295194be5407f1",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-08-01T18:52:49Z",
    "title_canon_sha256": "ecd84d31dba8addaedfb986f4e0a1ffcd5badce82773882eed96855547882ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00819",
    "kind": "arxiv",
    "version": 1
  }
}