Pith Number

pith:I7IG7QZH

pith:2016:I7IG7QZH5UMJD33XJTTD4RX3QG

not attested not anchored not stored refs pending

Beyond Lebesgue and Baire IV: Density topologies and a converse Steinhaus-Weil Theorem

A. J. Ostaszewski, N. H. Bingham

arxiv:1607.00031 v2 · 2016-06-30 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7IG7QZH5UMJD33XJTTD4RX3QG}

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	2026-05-18T00:31:05.421267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d06fc327ed1891ef774ce63e46fb81bed9a3d6c7ce69a09aeb81ec8d916e83

Aliases

arxiv: 1607.00031 · arxiv_version: 1607.00031v2 · doi: 10.48550/arxiv.1607.00031 · pith_short_12: I7IG7QZH5UMJ · pith_short_16: I7IG7QZH5UMJD33X · pith_short_8: I7IG7QZH

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/I7IG7QZH5UMJD33XJTTD4RX3QG \
  | 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: 47d06fc327ed1891ef774ce63e46fb81bed9a3d6c7ce69a09aeb81ec8d916e83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f7611ad6f02b123e2960641db015d30264a1abe523ba2154786425135218e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-06-30T20:36:22Z",
    "title_canon_sha256": "1786ad8540a5de25f24425fc08a65114e6b7c20e8a7f7222e162da8ea153dc0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00031",
    "kind": "arxiv",
    "version": 2
  }
}