Pith Number

pith:KIV6BCK3

pith:2011:KIV6BCK3OJLPP6DVLOZBJXACOD

not attested not anchored not stored refs pending

On an Interesting Class of Variable Exponents

Alexei Yu. Karlovich, Ilya M. Spitkovsky

arxiv:1110.0299 v1 · 2011-10-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIV6BCK3OJLPP6DVLOZBJXACOD}

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	2026-05-18T04:11:50.302062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

522be0895b7256f7f8755bb214dc0270fb7cf71935c696e334032c6e8416ffec

Aliases

arxiv: 1110.0299 · arxiv_version: 1110.0299v1 · doi: 10.48550/arxiv.1110.0299 · pith_short_12: KIV6BCK3OJLP · pith_short_16: KIV6BCK3OJLPP6DV · pith_short_8: KIV6BCK3

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/KIV6BCK3OJLPP6DVLOZBJXACOD \
  | 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: 522be0895b7256f7f8755bb214dc0270fb7cf71935c696e334032c6e8416ffec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5a632b77ca13f4af7977d55ffdb461e7c98789776b3c86873868b8238d72a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-03T08:50:17Z",
    "title_canon_sha256": "b6f5b7e255e416f5c03ee3da8db117f4ef159271cea9b47d5856e3e03904cb49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0299",
    "kind": "arxiv",
    "version": 1
  }
}