Pith Number

pith:SHVAZQXR

pith:2010:SHVAZQXR6SPTGOK5OLFGNM4TYD

not attested not anchored not stored refs pending

Badly approximable vectors on rational quadratic varieties

Jimmy Tseng

arxiv:1008.0445 v3 · 2010-08-03 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHVAZQXR6SPTGOK5OLFGNM4TYD}

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	2026-05-18T04:10:09.101681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ea0cc2f1f49f33395d72ca66b393c0cb79db2734ebaa46da33d7bb27eccfbc

Aliases

arxiv: 1008.0445 · arxiv_version: 1008.0445v3 · doi: 10.48550/arxiv.1008.0445 · pith_short_12: SHVAZQXR6SPT · pith_short_16: SHVAZQXR6SPTGOK5 · pith_short_8: SHVAZQXR

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/SHVAZQXR6SPTGOK5OLFGNM4TYD \
  | 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: 91ea0cc2f1f49f33395d72ca66b393c0cb79db2734ebaa46da33d7bb27eccfbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9d73e4e9c3ea1048d58a99d959e44fc7e4d50fe5b9a3eee1defd97cc3ac24e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-03T03:01:30Z",
    "title_canon_sha256": "092fa220bc2dd57b3a8716a357dc4886e8a0beebe3eee4e839feee577b8e4c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0445",
    "kind": "arxiv",
    "version": 3
  }
}