Pith Number

pith:4HPRPX3X

pith:2015:4HPRPX3XXHFDFBE2RDX23WGIYJ

not attested not anchored not stored refs pending

On the irrationality measure of certain numbers

Alexandr Polyanskii

arxiv:1501.06752 v1 · 2015-01-27 · 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{4HPRPX3XXHFDFBE2RDX23WGIYJ}

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	2026-05-18T02:28:32.773885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1df17df77b9ca32849a88efadd8c8c24a0e6d2a5cbf4a9e58062d0b21317ace

Aliases

arxiv: 1501.06752 · arxiv_version: 1501.06752v1 · doi: 10.48550/arxiv.1501.06752 · pith_short_12: 4HPRPX3XXHFD · pith_short_16: 4HPRPX3XXHFDFBE2 · pith_short_8: 4HPRPX3X

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/4HPRPX3XXHFDFBE2RDX23WGIYJ \
  | 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: e1df17df77b9ca32849a88efadd8c8c24a0e6d2a5cbf4a9e58062d0b21317ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663ac54ae8d828d72befa45ccb7df153cd0ee5f3847dd71abbe6ffc015c00823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-27T11:52:32Z",
    "title_canon_sha256": "7b0b125db6e54661d0295b69043e56925d152b064ad90772c0d1e519812659bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06752",
    "kind": "arxiv",
    "version": 1
  }
}