Pith Number

pith:MQ3QYH73

pith:2010:MQ3QYH73WDMMTKE7KMFSWKWNF4

not attested not anchored not stored refs pending

Defining $\mathbb{Z}$ in $\mathbb{Q}$

Jochen Koenigsmann

arxiv:1011.3424 v2 · 2010-11-15 · math.NT · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQ3QYH73WDMMTKE7KMFSWKWNF4}

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	2026-05-18T03:07:21.172900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64370c1ffbb0d8c9a89f530b2b2acd2f2f95bd993d4ef5605f392362b106a0da

Aliases

arxiv: 1011.3424 · arxiv_version: 1011.3424v2 · doi: 10.48550/arxiv.1011.3424 · pith_short_12: MQ3QYH73WDMM · pith_short_16: MQ3QYH73WDMMTKE7 · pith_short_8: MQ3QYH73

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/MQ3QYH73WDMMTKE7KMFSWKWNF4 \
  | 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: 64370c1ffbb0d8c9a89f530b2b2acd2f2f95bd993d4ef5605f392362b106a0da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba82c103ba2f79b297395d7e8b5299ea9a4ae375425f6d94ff2799e7c0db8142",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-15T15:39:09Z",
    "title_canon_sha256": "3a102b8d6e940c444d68e87e313c17e8082596e17f7e42e84e5c597a93eea7ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3424",
    "kind": "arxiv",
    "version": 2
  }
}