Pith Number

pith:EHG6L6PF

pith:2025:EHG6L6PFCTOJYEA7ROLJVPJF6T

not attested not anchored not stored refs pending

On efficient approximation of quadratic irrationals

Andrew N.W. Hone, Anthony Overmars, Marcel Jackson, Peter H. van der Kamp

arxiv:2511.21617 v3 · 2025-11-26 · 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{EHG6L6PFCTOJYEA7ROLJVPJF6T}

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	2026-06-19T16:12:16.388032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21cde5f9e514dc9c101f8b969abd25f4c2895d266274795f37ae4d0dc1ed04c3

Aliases

arxiv: 2511.21617 · arxiv_version: 2511.21617v3 · doi: 10.48550/arxiv.2511.21617 · pith_short_12: EHG6L6PFCTOJ · pith_short_16: EHG6L6PFCTOJYEA7 · pith_short_8: EHG6L6PF

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/EHG6L6PFCTOJYEA7ROLJVPJF6T \
  | 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: 21cde5f9e514dc9c101f8b969abd25f4c2895d266274795f37ae4d0dc1ed04c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e47b197e16e71cca3434db7d4525acc72a09a0eb52ccf5bf85de012adc2f169c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-11-26T17:41:07Z",
    "title_canon_sha256": "b9ff50e54a5b4ded81610b793c88fe448284f0475338c800e91ab4ff5f5ab4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.21617",
    "kind": "arxiv",
    "version": 3
  }
}