Pith Number

pith:KCLAXVO7

pith:2025:KCLAXVO7O3GDE5DWM2YZK4GUX7

not attested not anchored not stored refs pending

Some Bounds Related to the $2$-adic Littlewood Conjecture

Dinis Vitorino, Ingrid Vukusic

arxiv:2506.04110 v2 · 2025-06-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCLAXVO7O3GDE5DWM2YZK4GUX7}

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	2026-07-05T11:52:20.924096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50960bd5df76cc32747666b19570d4bfe20f62560662c55f3dce52f24fb93444

Aliases

arxiv: 2506.04110 · arxiv_version: 2506.04110v2 · doi: 10.48550/arxiv.2506.04110 · pith_short_12: KCLAXVO7O3GD · pith_short_16: KCLAXVO7O3GDE5DW · pith_short_8: KCLAXVO7

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/KCLAXVO7O3GDE5DWM2YZK4GUX7 \
  | 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: 50960bd5df76cc32747666b19570d4bfe20f62560662c55f3dce52f24fb93444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa218d32bfa9708199fb13b8aa4565d2415a8f6a9b17198660cb33c71fc093e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-04T16:01:54Z",
    "title_canon_sha256": "3ad426e768409369f3682e8ed866577936a144b22ec564085ec2979eb9d83c84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04110",
    "kind": "arxiv",
    "version": 2
  }
}