Pith Number

pith:BGLHBZMF

pith:2012:BGLHBZMFTFT46OPKAK6DPGKQKV

not attested not anchored not stored refs pending

Inhomogeneous Diophantine approximation with general error functions

Lingmin Liao (LAMA), Michal Rams (PAN)

arxiv:1208.1826 v3 · 2012-08-09 · 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{BGLHBZMFTFT46OPKAK6DPGKQKV}

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	2026-05-18T03:45:33.058272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099670e5859967cf39ea02bc379950556ccf5cfdd9aae7c229e54dbdac0a90ef

Aliases

arxiv: 1208.1826 · arxiv_version: 1208.1826v3 · doi: 10.48550/arxiv.1208.1826 · pith_short_12: BGLHBZMFTFT4 · pith_short_16: BGLHBZMFTFT46OPK · pith_short_8: BGLHBZMF

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/BGLHBZMFTFT46OPKAK6DPGKQKV \
  | 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: 099670e5859967cf39ea02bc379950556ccf5cfdd9aae7c229e54dbdac0a90ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecb2039734e51bdc6ecfd64def75f4a72985f7303434ebab09059087a669cd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-09T07:04:52Z",
    "title_canon_sha256": "ea1f9bb4423c0fa1c556b20e1cf1cc2a917e54fb2fc71f0e71322599f386e059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1826",
    "kind": "arxiv",
    "version": 3
  }
}