Pith Number

pith:MMSQEZGP

pith:2014:MMSQEZGPOGL6KPRNGWMPPG6H4W

not attested not anchored not stored refs pending

Periodic representations and rational approximations of square roots

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1409.6159 v1 · 2014-09-22 · 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{MMSQEZGPOGL6KPRNGWMPPG6H4W}

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	2026-05-18T02:42:13.707478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63250264cf7197e53e2d3598f79bc7e59f531a123bb9b1a49994d48edc417094

Aliases

arxiv: 1409.6159 · arxiv_version: 1409.6159v1 · doi: 10.48550/arxiv.1409.6159 · pith_short_12: MMSQEZGPOGL6 · pith_short_16: MMSQEZGPOGL6KPRN · pith_short_8: MMSQEZGP

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/MMSQEZGPOGL6KPRNGWMPPG6H4W \
  | 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: 63250264cf7197e53e2d3598f79bc7e59f531a123bb9b1a49994d48edc417094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9422eb0a4bf9adfcbcb4c45a6da9b97fa2318a72b92e7f742a655fb8a976576c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-22T13:05:05Z",
    "title_canon_sha256": "0e0a91be87ca499ecaeb962d8f5468a712e25fcd866a5208139e56496ecda353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6159",
    "kind": "arxiv",
    "version": 1
  }
}