Pith Number

pith:3YSXU3X4

pith:2021:3YSXU3X4FWO5JPDZNLWIHTKTUZ

not attested not anchored not stored refs pending

On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields

Fr\'ed\'eric Paulin, Seonhee Lim, Taehyeong Kim

arxiv:2112.04144 v3 · 2021-12-08 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YSXU3X4FWO5JPDZNLWIHTKTUZ}

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	2026-07-05T06:03:52.285655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de257a6efc2d9dd4bc796aec83cd53a64ef95eb80844bad2a3660fb20c9b3485

Aliases

arxiv: 2112.04144 · arxiv_version: 2112.04144v3 · doi: 10.48550/arxiv.2112.04144 · pith_short_12: 3YSXU3X4FWO5 · pith_short_16: 3YSXU3X4FWO5JPDZ · pith_short_8: 3YSXU3X4

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/3YSXU3X4FWO5JPDZNLWIHTKTUZ \
  | 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: de257a6efc2d9dd4bc796aec83cd53a64ef95eb80844bad2a3660fb20c9b3485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b36d25e0436c6fda8d4197b29db3d9a7cdfec0ab0d4ab0a135c4551222483e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-12-08T06:50:24Z",
    "title_canon_sha256": "cd08e0f57fa9cb2250f2666ce6725ac51815b2a662c05ab2d031fddbdec2c22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04144",
    "kind": "arxiv",
    "version": 3
  }
}