Pith Number

pith:YURKTTO2

pith:2012:YURKTTO265VDZSUKBHQ2HHY3GI

not attested not anchored not stored refs pending

On the existence of hyperplane sequences, with quality parameter and discrepancy bounds

Friedrich Pillichshammer, Gottlieb Pirsic

arxiv:1211.3522 v1 · 2012-11-15 · 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{YURKTTO265VDZSUKBHQ2HHY3GI}

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	2026-05-18T03:40:48.350294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c522a9cddaf76a3cca8a09e1a39f1b3214dc8b1e4eef948907ebda28a208e5fd

Aliases

arxiv: 1211.3522 · arxiv_version: 1211.3522v1 · doi: 10.48550/arxiv.1211.3522 · pith_short_12: YURKTTO265VD · pith_short_16: YURKTTO265VDZSUK · pith_short_8: YURKTTO2

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/YURKTTO265VDZSUKBHQ2HHY3GI \
  | 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: c522a9cddaf76a3cca8a09e1a39f1b3214dc8b1e4eef948907ebda28a208e5fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b161964bc377a61e50fff7420b3fec36aba2122a5839eb1f9dfd46f751b2fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-15T08:11:43Z",
    "title_canon_sha256": "a7b974ee82adf664f71c3ecb602861f8e35ed792e7f2b9ed856ec8eaea67b23d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3522",
    "kind": "arxiv",
    "version": 1
  }
}