Pith Number

pith:MQYAU5OF

pith:2011:MQYAU5OFJVICIW4IFFPAPZGNXK

not attested not anchored not stored refs pending

On certain Littlewood-like and Schmidt-like problems in inhomogeneous Diophantine approximations

Nikolay Moshchevitin

arxiv:1101.5032 v2 · 2011-01-26 · 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{MQYAU5OFJVICIW4IFFPAPZGNXK}

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	2026-05-18T04:28:56.519565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64300a75c54d50245b88295e07e4cdba9389b859c85f830b5d29e84f18c523e4

Aliases

arxiv: 1101.5032 · arxiv_version: 1101.5032v2 · doi: 10.48550/arxiv.1101.5032 · pith_short_12: MQYAU5OFJVIC · pith_short_16: MQYAU5OFJVICIW4I · pith_short_8: MQYAU5OF

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/MQYAU5OFJVICIW4IFFPAPZGNXK \
  | 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: 64300a75c54d50245b88295e07e4cdba9389b859c85f830b5d29e84f18c523e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2cc113e4a74d07f19c2fcdcd3bacaa4525c999a45555e7a541f3b6ccd9c2f67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-26T11:41:11Z",
    "title_canon_sha256": "eb243303417d1402d2f0eb1fe8cb72afbeff803ff4d568a761519a3ab403cdfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5032",
    "kind": "arxiv",
    "version": 2
  }
}