Pith Number

pith:26X4JH2Z

pith:2019:26X4JH2ZY46OCKL23S2P5VN4U4

not attested not anchored not stored refs pending

On simultaneous rational approximation to a real number and its integral powers, II

Dmitry Badziahin, Yann Bugeaud

arxiv:1906.05508 v1 · 2019-06-13 · 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{26X4JH2ZY46OCKL23S2P5VN4U4}

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	2026-05-17T23:43:25.194017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7afc49f59c73ce1297adcb4fed5bca7061f62da645b1c5a9e1f2866b3418887

Aliases

arxiv: 1906.05508 · arxiv_version: 1906.05508v1 · doi: 10.48550/arxiv.1906.05508 · pith_short_12: 26X4JH2ZY46O · pith_short_16: 26X4JH2ZY46OCKL2 · pith_short_8: 26X4JH2Z

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/26X4JH2ZY46OCKL23S2P5VN4U4 \
  | 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: d7afc49f59c73ce1297adcb4fed5bca7061f62da645b1c5a9e1f2866b3418887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64538a8af62f50a95ab1da49bb23c7f1edfd7cb5616f13f82bc821bb14c4d9df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-13T06:54:13Z",
    "title_canon_sha256": "7dbaedb1b1528e24ecf96b79e47cb420950b15666b5437efe18c2e2b60a5f63d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.05508",
    "kind": "arxiv",
    "version": 1
  }
}