Pith Number

pith:HHQKA2RQ

pith:2018:HHQKA2RQMBJFOMYEVSPW3D3F6U

not attested not anchored not stored refs pending

On cardinality bounds for $\theta^n$-Urysohn spaces

Fortunata Aurora Basile, Jack Porter, Nathan Carlson

arxiv:1808.06712 v1 · 2018-08-20 · 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{HHQKA2RQMBJFOMYEVSPW3D3F6U}

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	2026-05-18T00:07:39.317439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39e0a06a306052573304ac9f6d8f65f501f1af6ee3d2e892e0d093c4dd43593f

Aliases

arxiv: 1808.06712 · arxiv_version: 1808.06712v1 · doi: 10.48550/arxiv.1808.06712 · pith_short_12: HHQKA2RQMBJF · pith_short_16: HHQKA2RQMBJFOMYE · pith_short_8: HHQKA2RQ

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/HHQKA2RQMBJFOMYEVSPW3D3F6U \
  | 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: 39e0a06a306052573304ac9f6d8f65f501f1af6ee3d2e892e0d093c4dd43593f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a21a94ee2ed64db6fd56e4d30b566f988796c56ace64cfa8657ba591ba94ef5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2018-08-20T22:47:28Z",
    "title_canon_sha256": "389ee4ebc0c9320b901f4cb9e513e86a7a98d68bc76d7ba4ff274fab4bcb2f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06712",
    "kind": "arxiv",
    "version": 1
  }
}