pith. sign in
Pith Number

pith:FGXRU2QC

pith:2016:FGXRU2QCDY7DXSKRTC4NL5IUW7
not attested not anchored not stored refs pending

First countable and almost discretely Lindel\"of $T_3$ spaces have cardinality at most continuum

Istv\'an Juh\'asz, Lajos Soukup, Zolt\'an Szentmikl\'ossy

arxiv:1612.06651 v1 · 2016-12-20 · math.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FGXRU2QCDY7DXSKRTC4NL5IUW7}

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 2026-05-18T00:54:25.124204Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

29af1a6a021e3e3bc95198b8d5f514b7c4cd1660617cad8566bcd3deb4fa3a89

Aliases

arxiv: 1612.06651 · arxiv_version: 1612.06651v1 · doi: 10.48550/arxiv.1612.06651 · pith_short_12: FGXRU2QCDY7D · pith_short_16: FGXRU2QCDY7DXSKR · pith_short_8: FGXRU2QC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FGXRU2QCDY7DXSKRTC4NL5IUW7 \
  | 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: 29af1a6a021e3e3bc95198b8d5f514b7c4cd1660617cad8566bcd3deb4fa3a89
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "70dd65b3b00b6be19ef01a5311cc9b55f33b86aa4ce64e18227ec32217b6b5e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-12-20T13:29:09Z",
    "title_canon_sha256": "8a654447e59390fbadadfb1b9efa736b07d288f3a2851956c3500d39bf9ad12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06651",
    "kind": "arxiv",
    "version": 1
  }
}