Pith Number

pith:XO2Y5TUD

pith:2002:XO2Y5TUDMDYXSQL3RBDXZ6YJBT

not attested not anchored not stored refs pending

Using elliptic curves of rank one towards the undecidability of Hilbert's Tenth Problem over rings of algebraic integers

Bjorn Poonen

arxiv:math/0204001 v1 · 2002-03-29 · 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{XO2Y5TUDMDYXSQL3RBDXZ6YJBT}

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	2026-05-18T00:47:32.045716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb58ece8360f179417b88477cfb090cd82c13086a4639708d7a279263454aa1

Aliases

arxiv: math/0204001 · arxiv_version: math/0204001v1 · doi: 10.48550/arxiv.math/0204001 · pith_short_12: XO2Y5TUDMDYX · pith_short_16: XO2Y5TUDMDYXSQL3 · pith_short_8: XO2Y5TUD

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/XO2Y5TUDMDYXSQL3RBDXZ6YJBT \
  | 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: bbb58ece8360f179417b88477cfb090cd82c13086a4639708d7a279263454aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e8d970cca0d1f4894ba002bb9a49c812513a2045401a64bd116394d48c03412",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-03-29T21:13:49Z",
    "title_canon_sha256": "a6fc6e90becc38adcef29b77c5ea89029a29648949f197b37fe8d4e2c5f60092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204001",
    "kind": "arxiv",
    "version": 1
  }
}