Pith Number

pith:345NP3AA

pith:2014:345NP3AAYFPMLRMNCWQRZOPU33

not attested not anchored not stored refs pending

Singular systems of linear forms and non-escape of mass in the space of lattices

D. Y. Kleinbock, E. Lindenstrauss, G. A. Margulis, S. Kadyrov

arxiv:1407.5310 v2 · 2014-07-20 · math.DS · 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{345NP3AAYFPMLRMNCWQRZOPU33}

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	2026-05-18T01:55:43.005482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3ad7ec00c15ec5c58d15a11cb9f4deffb86b560cb624471c7bef41adf26c03

Aliases

arxiv: 1407.5310 · arxiv_version: 1407.5310v2 · doi: 10.48550/arxiv.1407.5310 · pith_short_12: 345NP3AAYFPM · pith_short_16: 345NP3AAYFPMLRMN · pith_short_8: 345NP3AA

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/345NP3AAYFPMLRMNCWQRZOPU33 \
  | 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: df3ad7ec00c15ec5c58d15a11cb9f4deffb86b560cb624471c7bef41adf26c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60143094236399f22b13e7ede5c0b44a0dea3f836b818df568b55dd698fe495",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-20T16:51:30Z",
    "title_canon_sha256": "46febd95438c6839766d7aa5168f4dd53707d58cb074ecfad02ef197e2d5dc37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5310",
    "kind": "arxiv",
    "version": 2
  }
}