Pith Number

pith:ENSOCII4

pith:2013:ENSOCII4VL2N2FJ3UOU3AFSXHC

not attested not anchored not stored refs pending

Steinhaus' lattice-point problem for Banach spaces

Tomasz Kania, Tomasz Kochanek

arxiv:1302.6443 v5 · 2013-02-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENSOCII4VL2N2FJ3UOU3AFSXHC}

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	2026-05-18T01:01:29.629718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2364e1211caaf4dd153ba3a9b016573884f90854f08cbe409e9c565a724fa356

Aliases

arxiv: 1302.6443 · arxiv_version: 1302.6443v5 · doi: 10.48550/arxiv.1302.6443 · pith_short_12: ENSOCII4VL2N · pith_short_16: ENSOCII4VL2N2FJ3 · pith_short_8: ENSOCII4

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/ENSOCII4VL2N2FJ3UOU3AFSXHC \
  | 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: 2364e1211caaf4dd153ba3a9b016573884f90854f08cbe409e9c565a724fa356

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9454ef0ac6c5c0f6f636c00183af9a08ad2940cd936064a494f8f5ef2403c0e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-26T14:25:37Z",
    "title_canon_sha256": "c7f7311ab4ed4c071aae00b96c5de9684b483c3c877ae07d1628672e45801313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6443",
    "kind": "arxiv",
    "version": 5
  }
}