Pith Number

pith:LKJZKWHR

pith:2026:LKJZKWHRG3NM35XAXOLKFESQYZ

not attested not anchored not stored refs pending

Lexicographic functional calculus and its application to functional calculus calculus

Evangelos A. Nikitopoulos

arxiv:2608.08404 v1 · 2026-08-09 · 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{LKJZKWHRG3NM35XAXOLKFESQYZ}

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	2026-08-11T01:22:33.334864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a939558f136dacdf6e0bb96a29250c677029d5bce6ee232749b72080e3635f1

Aliases

arxiv: 2608.08404 · arxiv_version: 2608.08404v1 · doi: 10.48550/arxiv.2608.08404 · pith_short_12: LKJZKWHRG3NM · pith_short_16: LKJZKWHRG3NM35XA · pith_short_8: LKJZKWHR

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/LKJZKWHRG3NM35XAXOLKFESQYZ \
  | 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: 5a939558f136dacdf6e0bb96a29250c677029d5bce6ee232749b72080e3635f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120b8a935268fabee0861ad12f46d2701f2936922cf83788cbe9d610d9562095",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-08-09T01:44:36Z",
    "title_canon_sha256": "3351ca7885bd74b88de6c45c5e08ea89d71a7330804b1edec6e4fd77ecfeac73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08404",
    "kind": "arxiv",
    "version": 1
  }
}