Pith Number

pith:U5X6IIAR

pith:2008:U5X6IIAROEOVBPKH5FBOCZL3SR

not attested not anchored not stored refs pending

On localization in Kronecker's diophantine theorem

Michel Weber

arxiv:0806.3990 v1 · 2008-06-24 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5X6IIAROEOVBPKH5FBOCZL3SR}

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	2026-05-18T00:40:29.147772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76fe42011711d50bd47e942e1657b946594347b834833ebbddbe2de4581efc2

Aliases

arxiv: 0806.3990 · arxiv_version: 0806.3990v1 · doi: 10.48550/arxiv.0806.3990 · pith_short_12: U5X6IIAROEOV · pith_short_16: U5X6IIAROEOVBPKH · pith_short_8: U5X6IIAR

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/U5X6IIAROEOVBPKH5FBOCZL3SR \
  | 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: a76fe42011711d50bd47e942e1657b946594347b834833ebbddbe2de4581efc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a70ed9f86d85964331031b904fd0e454b69ffe737e6046614364de2045611bb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-06-24T21:12:49Z",
    "title_canon_sha256": "cdc8bc70d076fe6d08989d05f8d7a5cd37d30b6d31da23a58691a911cc6a45af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3990",
    "kind": "arxiv",
    "version": 1
  }
}