Pith Number

pith:IMMVVHY3

pith:2017:IMMVVHY3ZMEU34PJSDE54OB5G3

not attested not anchored not stored refs pending

Inhomogeneous dual Diophantine approximation on affine subspaces

Anish Ghosh, Arijit Ganguly, Sanju Velani, Victor Beresnevich

arxiv:1711.08559 v1 · 2017-11-23 · 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{IMMVVHY3ZMEU34PJSDE54OB5G3}

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	2026-05-18T00:29:44.696809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43195a9f1bcb094df1e990c9de383d36d3b77271de4e4a02f0aeeff0cc8c17ae

Aliases

arxiv: 1711.08559 · arxiv_version: 1711.08559v1 · doi: 10.48550/arxiv.1711.08559 · pith_short_12: IMMVVHY3ZMEU · pith_short_16: IMMVVHY3ZMEU34PJ · pith_short_8: IMMVVHY3

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/IMMVVHY3ZMEU34PJSDE54OB5G3 \
  | 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: 43195a9f1bcb094df1e990c9de383d36d3b77271de4e4a02f0aeeff0cc8c17ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f458bcfe5bdead258499ff10337625f1273d51b3d07660563a30295e598ac8",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-23T03:09:50Z",
    "title_canon_sha256": "e0de1da96cda9b6fbc3d7d42e9dd22ebbf6907f7792bc21b3c121fab52289c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08559",
    "kind": "arxiv",
    "version": 1
  }
}