Pith Number

pith:XWK4QPBL

pith:2026:XWK4QPBLOABJHT7FZ4TMLIQNOQ

not attested not anchored not stored refs pending

Geometric Block Exponents and a Uniform Mixed-Alphabet Sumset Inequality

Johannes Hosle, Paata Ivanisvili

arxiv:2606.25350 v1 · 2026-06-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWK4QPBLOABJHT7FZ4TMLIQNOQ}

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	2026-06-25T01:18:02.800448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd95c83c2b700293cfe5cf26c5a20d741ccdbba0e19b5f33c393eeec1f094d25

Aliases

arxiv: 2606.25350 · arxiv_version: 2606.25350v1 · doi: 10.48550/arxiv.2606.25350 · pith_short_12: XWK4QPBLOABJ · pith_short_16: XWK4QPBLOABJHT7F · pith_short_8: XWK4QPBL

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/XWK4QPBLOABJHT7FZ4TMLIQNOQ \
  | 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: bd95c83c2b700293cfe5cf26c5a20d741ccdbba0e19b5f33c393eeec1f094d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666a5dc06ef585e31256776934a8dda88093cb1a58452f1d2d8777639018065a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-24T03:33:28Z",
    "title_canon_sha256": "c3098397721b140033fbb3b073b34afdb3fa716f14584ce64dda833023a8bc71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25350",
    "kind": "arxiv",
    "version": 1
  }
}