Pith Number

pith:WZYGWUXN

pith:2013:WZYGWUXNYAYJQWAXJET7SSXCJ5

not attested not anchored not stored refs pending

Nonseparable spaceability and strong algebrability of sets of continuous singular functions

Artur Bartoszewicz, Malgorzata Filipczak, Marek Balcerzak

arxiv:1301.5162 v1 · 2013-01-22 · 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{WZYGWUXNYAYJQWAXJET7SSXCJ5}

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	2026-05-18T03:35:52.834068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6706b52edc0309858174927f94ae24f5cc789f4f956fd5f28275c0deb0127fe

Aliases

arxiv: 1301.5162 · arxiv_version: 1301.5162v1 · doi: 10.48550/arxiv.1301.5162 · pith_short_12: WZYGWUXNYAYJ · pith_short_16: WZYGWUXNYAYJQWAX · pith_short_8: WZYGWUXN

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/WZYGWUXNYAYJQWAXJET7SSXCJ5 \
  | 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: b6706b52edc0309858174927f94ae24f5cc789f4f956fd5f28275c0deb0127fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21631e8bebb6eaff3d3c0ca4bef2fad3f6d18a48d9a6417ad06878775aefc6ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-22T12:05:39Z",
    "title_canon_sha256": "4f642a39c5044e42dd7d4887ef7c242ac98d94532c6d91bfdabb457ff4af346b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5162",
    "kind": "arxiv",
    "version": 1
  }
}