Pith Number

pith:JF4RGUKV

pith:2026:JF4RGUKV55UFS2K3HEYXXLEJU7

not attested not anchored not stored refs pending

On the $P(t)$-adic Littlewood conjecture in odd characteristics

Johannes Sprang, Li Lai

arxiv:2606.00633 v1 · 2026-05-30 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JF4RGUKV55UFS2K3HEYXXLEJU7}

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	2026-06-02T01:04:00.381342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4979135155ef6859695b39317bac89a7e66925f509e0c181b2fcc386680dbcd2

Aliases

arxiv: 2606.00633 · arxiv_version: 2606.00633v1 · doi: 10.48550/arxiv.2606.00633 · pith_short_12: JF4RGUKV55UF · pith_short_16: JF4RGUKV55UFS2K3 · pith_short_8: JF4RGUKV

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/JF4RGUKV55UFS2K3HEYXXLEJU7 \
  | 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: 4979135155ef6859695b39317bac89a7e66925f509e0c181b2fcc386680dbcd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "211fdfe3ceb212027986d507216c701fe4bc411d62ce503661ae20491118921c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-30T09:10:55Z",
    "title_canon_sha256": "0868a5753fae9e4db115a20d794e91e60c1dd4a54a4782b499b652378e3cfc76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00633",
    "kind": "arxiv",
    "version": 1
  }
}