Pith Number

pith:V6YBU7XH

pith:2013:V6YBU7XHBKA2ZNAYVIWV26WUM7

not attested not anchored not stored refs pending

On the tube-occupancy of sets in $\mathbb{R}^d$

Tuomas Orponen

arxiv:1311.7340 v2 · 2013-11-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6YBU7XHBKA2ZNAYVIWV26WUM7}

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	2026-05-18T01:21:38.214528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb01a7ee70a81acb418aa2d5d7ad467cb1d2a3a101deff21e4762c89e81f895

Aliases

arxiv: 1311.7340 · arxiv_version: 1311.7340v2 · doi: 10.48550/arxiv.1311.7340 · pith_short_12: V6YBU7XHBKA2 · pith_short_16: V6YBU7XHBKA2ZNAY · pith_short_8: V6YBU7XH

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/V6YBU7XHBKA2ZNAYVIWV26WUM7 \
  | 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: afb01a7ee70a81acb418aa2d5d7ad467cb1d2a3a101deff21e4762c89e81f895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1248b10eb4ed84b09131699e90aefce263a2e6eca4b6fbaed06d0d1c0162a7ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-28T15:12:49Z",
    "title_canon_sha256": "c0a2304699abc4b511515dee53f637eecf69436bbb8320441249c657333611f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7340",
    "kind": "arxiv",
    "version": 2
  }
}