Pith Number

pith:UJQBBMUM

pith:2007:UJQBBMUMPHBJ6U2OCBCSE6M5HA

not attested not anchored not stored refs pending

Hausdorff hyperspaces of $R^m$ and their dense subspaces

Katsuro Sakai, Wieslaw Kubis

arxiv:0712.0786 v1 · 2007-12-05 · 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{UJQBBMUMPHBJ6U2OCBCSE6M5HA}

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	2026-05-18T03:42:45.091358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26010b28c79c29f534e104522799d38294b9c7e35dc93e1c0ab7534a6b5d560

Aliases

arxiv: 0712.0786 · arxiv_version: 0712.0786v1 · doi: 10.48550/arxiv.0712.0786 · pith_short_12: UJQBBMUMPHBJ · pith_short_16: UJQBBMUMPHBJ6U2O · pith_short_8: UJQBBMUM

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/UJQBBMUMPHBJ6U2OCBCSE6M5HA \
  | 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: a26010b28c79c29f534e104522799d38294b9c7e35dc93e1c0ab7534a6b5d560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb4dabe0c9f45ff00d4d56d307f862764f3f14685236598a495e2f65c1f2062",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2007-12-05T17:23:38Z",
    "title_canon_sha256": "355c4c03bfdfd7f1690f3966dfddb5d293e9d72347e007cf701629aff64adb24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0786",
    "kind": "arxiv",
    "version": 1
  }
}