Pith Number

pith:YMU5DY2R

pith:2017:YMU5DY2R2VFLN42H4QJSKDIZ2B

not attested not anchored not stored refs pending

Simultaneous Diophantine approximation on affine subspaces and Dirichlet improvability

Fabian S\"uess

arxiv:1711.08288 v1 · 2017-11-22 · 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{YMU5DY2R2VFLN42H4QJSKDIZ2B}

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	2026-05-18T00:29:50.193195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c329d1e351d54ab6f347e413250d19d06ae9c34cac4583112c27002d746bb8a3

Aliases

arxiv: 1711.08288 · arxiv_version: 1711.08288v1 · doi: 10.48550/arxiv.1711.08288 · pith_short_12: YMU5DY2R2VFL · pith_short_16: YMU5DY2R2VFLN42H · pith_short_8: YMU5DY2R

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/YMU5DY2R2VFLN42H4QJSKDIZ2B \
  | 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: c329d1e351d54ab6f347e413250d19d06ae9c34cac4583112c27002d746bb8a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b09728958180e3835bd0e0be632e04bebc43455da7926e3872c71ea085aa151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-22T14:13:45Z",
    "title_canon_sha256": "88c6990ce53a8f71f0e9b941d1838ab3d36017500f9b3d770581e5c5b0722e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08288",
    "kind": "arxiv",
    "version": 1
  }
}