Pith Number

pith:J32KZ6YH

pith:2016:J32KZ6YHS76GK2KIKIRPT5JNJK

not attested not anchored not stored refs pending

The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability

A. J. Ostaszewski, N. H. Bingham

arxiv:1607.00049 v3 · 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{J32KZ6YHS76GK2KIKIRPT5JNJK}

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	2026-05-18T00:08:16.338911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef4acfb0797fc6569485222f9f52d4abf1823300ca038ecac2f9ef1554b608b

Aliases

arxiv: 1607.00049 · arxiv_version: 1607.00049v3 · doi: 10.48550/arxiv.1607.00049 · pith_short_12: J32KZ6YHS76G · pith_short_16: J32KZ6YHS76GK2KI · pith_short_8: J32KZ6YH

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/J32KZ6YHS76GK2KIKIRPT5JNJK \
  | 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: 4ef4acfb0797fc6569485222f9f52d4abf1823300ca038ecac2f9ef1554b608b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7023580fe533de0f43f037b7a575a3e223cdb84fbf83a10f87b8a50559a4b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-06-30T21:13:23Z",
    "title_canon_sha256": "2aad898b1bc7a48af752b80d5b79003fe54a1893d6aa509dbdfc6ba1cb8ff330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00049",
    "kind": "arxiv",
    "version": 3
  }
}