Pith Number

pith:7BWJQ5F6

pith:2013:7BWJQ5F65D3SKWDPWNULK7EVPZ

not attested not anchored not stored refs pending

Strong c-algebrability of strong Sierpi\'nski-Zygmund, smooth nowhere analytic and other sets of functions

Artur Bartoszewicz, Malgorzata Filipczak, Marek Bienias, Szymon Glab

arxiv:1307.0331 v2 · 2013-07-01 · math.RA · 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{7BWJQ5F65D3SKWDPWNULK7EVPZ}

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	2026-05-18T03:08:46.975876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f86c9874bee8f725586fb368b57c957e462255a79164f913c778bb3d65e73181

Aliases

arxiv: 1307.0331 · arxiv_version: 1307.0331v2 · doi: 10.48550/arxiv.1307.0331 · pith_short_12: 7BWJQ5F65D3S · pith_short_16: 7BWJQ5F65D3SKWDP · pith_short_8: 7BWJQ5F6

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/7BWJQ5F65D3SKWDPWNULK7EVPZ \
  | 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: f86c9874bee8f725586fb368b57c957e462255a79164f913c778bb3d65e73181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "994c067bd085b07a9506cf89cd6c14938f15474b9d5ee47fc458fa577309fd2d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-01T11:05:25Z",
    "title_canon_sha256": "ad1cec6712a6916e5263b5b4eee96f663d1016c46c3d43b5d03c033053d7fdd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0331",
    "kind": "arxiv",
    "version": 2
  }
}