Pith Number

pith:Q2CZVZSI

pith:2018:Q2CZVZSIR6IVOD2AGOMMZ2AVHB

not attested not anchored not stored refs pending

One-sided Diophantine approximations

Jaroslav Han\v{c}l, Ond\v{r}ej Turek

arxiv:1809.01013 v2 · 2018-09-04 · math.NT · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2CZVZSIR6IVOD2AGOMMZ2AVHB}

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	2026-05-17T23:56:19.911512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86859ae6488f91570f403398cce815386bf6c76484be0188633718b630ff4c7f

Aliases

arxiv: 1809.01013 · arxiv_version: 1809.01013v2 · doi: 10.48550/arxiv.1809.01013 · pith_short_12: Q2CZVZSIR6IV · pith_short_16: Q2CZVZSIR6IVOD2A · pith_short_8: Q2CZVZSI

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/Q2CZVZSIR6IVOD2AGOMMZ2AVHB \
  | 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: 86859ae6488f91570f403398cce815386bf6c76484be0188633718b630ff4c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85459ac9bcd507bb36b07ae35ba599f0887cb7aeb3c0dd62586adb9573b6882",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-04T14:18:56Z",
    "title_canon_sha256": "b93701433ae4f8c8e608798f3f755ea68feef189ad6c72c8ab2aec8476c224a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01013",
    "kind": "arxiv",
    "version": 2
  }
}