Pith Number

pith:YGHUX3W3

pith:2012:YGHUX3W3LF2FFSCWZALSLWVIUZ

not attested not anchored not stored refs pending

Zero-one laws in simultaneous and multiplicative Diophantine approximation

Liangpan Li

arxiv:1204.2236 v1 · 2012-04-10 · 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{YGHUX3W3LF2FFSCWZALSLWVIUZ}

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	2026-05-18T03:02:43.921823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c18f4beedb597452c856c81725daa8a65b7203da3b737260847b46bff527d52a

Aliases

arxiv: 1204.2236 · arxiv_version: 1204.2236v1 · doi: 10.48550/arxiv.1204.2236 · pith_short_12: YGHUX3W3LF2F · pith_short_16: YGHUX3W3LF2FFSCW · pith_short_8: YGHUX3W3

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/YGHUX3W3LF2FFSCWZALSLWVIUZ \
  | 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: c18f4beedb597452c856c81725daa8a65b7203da3b737260847b46bff527d52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6d12c5939127f00c45a405e24e9cd6d5e01c114163a4651b39207a53dcd590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-10T18:13:17Z",
    "title_canon_sha256": "4166f89398b0f01785c6779ca4cf7917f9c117cf3d73392348d3f2d6618cca9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2236",
    "kind": "arxiv",
    "version": 1
  }
}