Pith Number

pith:ELFLHCOM

pith:2017:ELFLHCOMSX3PIQZUOI4B6FA4RH

not attested not anchored not stored refs pending

The $k$-property and countable tightness of free topological vector spaces

Chuan Liu, Fucai Lin, Shou Lin

arxiv:1706.02190 v3 · 2017-06-07 · math.GN · 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{ELFLHCOMSX3PIQZUOI4B6FA4RH}

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	2026-05-18T00:37:41.906672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22cab389cc95f6f4433472381f141c89e0e0a726ce6d2810b30dadd4d5c10943

Aliases

arxiv: 1706.02190 · arxiv_version: 1706.02190v3 · doi: 10.48550/arxiv.1706.02190 · pith_short_12: ELFLHCOMSX3P · pith_short_16: ELFLHCOMSX3PIQZU · pith_short_8: ELFLHCOM

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/ELFLHCOMSX3PIQZUOI4B6FA4RH \
  | 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: 22cab389cc95f6f4433472381f141c89e0e0a726ce6d2810b30dadd4d5c10943

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c37b735c7ba0482d74ef64bea157be7737c47af82cbee1e9ae2938d4fe122c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-06-07T13:54:45Z",
    "title_canon_sha256": "a97e2ddaeabf5d1a38a2bd744ff90e54054b2e0c1f0327cef92126460f2da4de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02190",
    "kind": "arxiv",
    "version": 3
  }
}