Pith Number

pith:OIIV6CYJ

pith:2014:OIIV6CYJXQWIZKWN2IQRTWNIC6

not attested not anchored not stored refs pending

The sequence of fractional parts of roots

Kevin O'Bryant

arxiv:1410.2927 v2 · 2014-10-10 · 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{OIIV6CYJXQWIZKWN2IQRTWNIC6}

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	2026-05-18T01:55:33.490422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72115f0b09bc2c8caacdd22119d9a817a28d4c1243c1402c5069ac383d38de70

Aliases

arxiv: 1410.2927 · arxiv_version: 1410.2927v2 · doi: 10.48550/arxiv.1410.2927 · pith_short_12: OIIV6CYJXQWI · pith_short_16: OIIV6CYJXQWIZKWN · pith_short_8: OIIV6CYJ

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/OIIV6CYJXQWIZKWN2IQRTWNIC6 \
  | 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: 72115f0b09bc2c8caacdd22119d9a817a28d4c1243c1402c5069ac383d38de70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b064bfb8e475a5874821f02c2ff49bd743507e0c227427b41cb88bf1342e104b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-10T23:29:41Z",
    "title_canon_sha256": "85bdc80baa709ad8c0bbd5595ba048cb7ca25810e1c9e0b7c2cab7a9e554ec1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2927",
    "kind": "arxiv",
    "version": 2
  }
}