Pith Number

pith:HLSXOA5S

pith:2012:HLSXOA5SL6VBQT4D7SK75E56HV

not attested not anchored not stored refs pending

Two-dimensional badly approximable vectors and Schmidt's game

Jinpeng An

arxiv:1204.3610 v2 · 2012-04-16 · 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{HLSXOA5SL6VBQT4D7SK75E56HV}

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	2026-05-18T01:21:05.779760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ae57703b25faa184f83fc95fe93be3d7d28b67d25a400818d9c7eb19290d066

Aliases

arxiv: 1204.3610 · arxiv_version: 1204.3610v2 · doi: 10.48550/arxiv.1204.3610 · pith_short_12: HLSXOA5SL6VB · pith_short_16: HLSXOA5SL6VBQT4D · pith_short_8: HLSXOA5S

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/HLSXOA5SL6VBQT4D7SK75E56HV \
  | 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: 3ae57703b25faa184f83fc95fe93be3d7d28b67d25a400818d9c7eb19290d066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d810f704197c7594d9285c801c73630526723a0b6cf937e5ce67b1df055e96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-16T19:33:41Z",
    "title_canon_sha256": "97a843841db616618d8b0d7e343251d520b3fa66900d317e6a804f667b6bb2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3610",
    "kind": "arxiv",
    "version": 2
  }
}