Pith Number

pith:Q2UTMF5I

pith:2013:Q2UTMF5IU5H2BFEDTI6KLWXF5A

not attested not anchored not stored refs pending

Undecidability in number theory

Jochen Koenigsmann

arxiv:1309.0441 v1 · 2013-09-02 · 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{Q2UTMF5IU5H2BFEDTI6KLWXF5A}

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	2026-05-18T03:14:27.292525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a93617a8a74fa094839a3ca5dae5e83aae08b4ad2532e05bee0f3f1d3be3d3

Aliases

arxiv: 1309.0441 · arxiv_version: 1309.0441v1 · doi: 10.48550/arxiv.1309.0441 · pith_short_12: Q2UTMF5IU5H2 · pith_short_16: Q2UTMF5IU5H2BFED · pith_short_8: Q2UTMF5I

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/Q2UTMF5IU5H2BFEDTI6KLWXF5A \
  | 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: 86a93617a8a74fa094839a3ca5dae5e83aae08b4ad2532e05bee0f3f1d3be3d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1683b8b5a476aabd9be6535e1a06e94b706190450aecd4db9bd7a856933dbfd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-02T15:29:01Z",
    "title_canon_sha256": "caa3c636fdb6c141aa53e0292accad8fc3fd64096d4bd096915e58e69638d354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0441",
    "kind": "arxiv",
    "version": 1
  }
}