Pith Number

pith:3OUARWXG

pith:2017:3OUARWXGAMBNU5MQB4CZQQDIAH

not attested not anchored not stored refs pending

Badly approximable points on manifolds and unipotent orbits in homogeneous spaces

Lei Yang

arxiv:1703.03461 v2 · 2017-03-09 · 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{3OUARWXGAMBNU5MQB4CZQQDIAH}

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	2026-05-17T23:47:16.272294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba808dae60302da75900f0598406801d569b20997f022c20ae32ea8aaec8b0f

Aliases

arxiv: 1703.03461 · arxiv_version: 1703.03461v2 · doi: 10.48550/arxiv.1703.03461 · pith_short_12: 3OUARWXGAMBN · pith_short_16: 3OUARWXGAMBNU5MQ · pith_short_8: 3OUARWXG

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/3OUARWXGAMBNU5MQB4CZQQDIAH \
  | 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: dba808dae60302da75900f0598406801d569b20997f022c20ae32ea8aaec8b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb6be30b28256e56862f2daeedd36e708cda5e305d4002c77235da870bfd02d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-09T20:58:03Z",
    "title_canon_sha256": "b31b5d4f2323dad099f2a38e677f7f5feac90308e459a6c7a1a0e3b813bc7d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03461",
    "kind": "arxiv",
    "version": 2
  }
}