Pith Number

pith:5DX7WDQX

pith:2018:5DX7WDQXMBSOLPNPO3QRZUAJJ2

not attested not anchored not stored refs pending

Subrecursive Approximations of Irrational Numbers by Variable Base Sums

Frank Stephan, Ivan Georgiev, Lars Kristiansen

arxiv:1804.05330 v2 · 2018-04-15 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DX7WDQXMBSOLPNPO3QRZUAJJ2}

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	2026-07-05T00:50:51.430142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8effb0e176064e5bdaf76e11cd0094e93eec7d75a1d5a03515dd8c94222bf84

Aliases

arxiv: 1804.05330 · arxiv_version: 1804.05330v2 · doi: 10.48550/arxiv.1804.05330 · pith_short_12: 5DX7WDQXMBSO · pith_short_16: 5DX7WDQXMBSOLPNP · pith_short_8: 5DX7WDQX

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/5DX7WDQXMBSOLPNPO3QRZUAJJ2 \
  | 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: e8effb0e176064e5bdaf76e11cd0094e93eec7d75a1d5a03515dd8c94222bf84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7be0cb18e3156ac9c8f3ff1d06f6a55e36e8fd7a72279b80c9422b1a13b1c32e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-04-15T09:39:41Z",
    "title_canon_sha256": "6cb06d0eae970a395f4ac58167d034d828ff39faea8ce51351a97d80a48dd9a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05330",
    "kind": "arxiv",
    "version": 2
  }
}