Pith Number

pith:52TAHLFG

pith:2018:52TAHLFGNJQMH7CA53A5PTZGTJ

not attested not anchored not stored refs pending

On spectrum of irrationality exponents of Mahler numbers

Dzmitry Badziahin

arxiv:1806.02946 v1 · 2018-06-08 · 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{52TAHLFGNJQMH7CA53A5PTZGTJ}

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	2026-05-18T00:13:54.197614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eea603aca66a60c3fc40eec1d7cf269a42543ab4e141c5fa2bdb79f0539d5dc7

Aliases

arxiv: 1806.02946 · arxiv_version: 1806.02946v1 · doi: 10.48550/arxiv.1806.02946 · pith_short_12: 52TAHLFGNJQM · pith_short_16: 52TAHLFGNJQMH7CA · pith_short_8: 52TAHLFG

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/52TAHLFGNJQMH7CA53A5PTZGTJ \
  | 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: eea603aca66a60c3fc40eec1d7cf269a42543ab4e141c5fa2bdb79f0539d5dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a48c4967eb8f758cb1df22bfa5493db7e780bdb8c8084177fdab204202d95a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-08T02:25:52Z",
    "title_canon_sha256": "16a5148da963bca59dd51acfd58d7a60340d82bef3c34adf1b68bfc9f1d43b40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02946",
    "kind": "arxiv",
    "version": 1
  }
}