Pith Number

pith:NT5IMZ47

pith:2011:NT5IMZ47IIF32OPZKRXSRR3YRV

not attested not anchored not stored refs pending

Metrical Diophantine approximation for quaternions

Brent Everitt, Maurice Dodson

arxiv:1109.3229 v4 · 2011-09-15 · 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{NT5IMZ47IIF32OPZKRXSRR3YRV}

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	2026-05-17T23:53:19.240881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cfa86679f420bbd39f9546f28c7788d5fced50e71a19413ef2fdc93d3c29f9e

Aliases

arxiv: 1109.3229 · arxiv_version: 1109.3229v4 · doi: 10.48550/arxiv.1109.3229 · pith_short_12: NT5IMZ47IIF3 · pith_short_16: NT5IMZ47IIF32OPZ · pith_short_8: NT5IMZ47

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/NT5IMZ47IIF32OPZKRXSRR3YRV \
  | 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: 6cfa86679f420bbd39f9546f28c7788d5fced50e71a19413ef2fdc93d3c29f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6fa333d20247090968c097717d4f7dfb20dbafa4dcf60ef362916dc2ca63a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-15T00:04:05Z",
    "title_canon_sha256": "d93612414be87edb935a99c007498d448899359fc623478707fd172357dd8de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3229",
    "kind": "arxiv",
    "version": 4
  }
}