Pith Number

pith:42BQA43T

pith:2017:42BQA43TQUWE3MX2LT6GK6VNA2

not attested not anchored not stored refs pending

Numbers with simply normal $\beta$-expansions

Derong Kong, Simon Baker

arxiv:1707.01013 v1 · 2017-07-04 · math.DS · 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{42BQA43TQUWE3MX2LT6GK6VNA2}

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	2026-05-18T00:40:56.412426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e683007373852c4db2fa5cfc657aad06baa801f56edfcce8443e023b4c4507d3

Aliases

arxiv: 1707.01013 · arxiv_version: 1707.01013v1 · doi: 10.48550/arxiv.1707.01013 · pith_short_12: 42BQA43TQUWE · pith_short_16: 42BQA43TQUWE3MX2 · pith_short_8: 42BQA43T

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/42BQA43TQUWE3MX2LT6GK6VNA2 \
  | 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: e683007373852c4db2fa5cfc657aad06baa801f56edfcce8443e023b4c4507d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e29bb18b16a08ddde89f78bd96a77dc30654e06cc47fa3021bd3d485eb902bed",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-04T14:34:25Z",
    "title_canon_sha256": "612e53b626fbf6fc1dd99379ebb51bf361ed81290e4c31ac914bdd8591d75ad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01013",
    "kind": "arxiv",
    "version": 1
  }
}