Pith Number

pith:K6PGSNN4

pith:2026:K6PGSNN4IMIRAV637C7YE55SJ2

not attested not anchored not stored refs pending

Harnack inequality for superposition operators of mixed fractional order

R. Lakshmi, Sekhar Ghosh, Souvik Bhowmick, Vishvesh Kumar

arxiv:2606.01449 v1 · 2026-05-31 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6PGSNN4IMIRAV637C7YE55SJ2}

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	2026-06-02T02:04:33.368268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579e6935bc43111057dbf8bf8277b24e9d91021c97b18aaf0bf1cb8ce05e1605

Aliases

arxiv: 2606.01449 · arxiv_version: 2606.01449v1 · doi: 10.48550/arxiv.2606.01449 · pith_short_12: K6PGSNN4IMIR · pith_short_16: K6PGSNN4IMIRAV63 · pith_short_8: K6PGSNN4

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/K6PGSNN4IMIRAV637C7YE55SJ2 \
  | 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: 579e6935bc43111057dbf8bf8277b24e9d91021c97b18aaf0bf1cb8ce05e1605

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e1348d4e6be7b64fa513be3ea5e11bd5a113b6cf26b513b4b204c26d29b9ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-31T20:57:01Z",
    "title_canon_sha256": "9c2f3f40c4fde2e10ff4a52111afa523eaf1d3176e0e9b3c96ab29a8e71caf5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01449",
    "kind": "arxiv",
    "version": 1
  }
}