Pith Number

pith:XNT7KATI

pith:2017:XNT7KATIBGLVPKGL7KBKZN23JM

not attested not anchored not stored refs pending

Cardinal Invariants for the $G_\delta$ topology

Angelo Bella, Santi Spadaro

arxiv:1707.04871 v1 · 2017-07-16 · 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{XNT7KATIBGLVPKGL7KBKZN23JM}

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	2026-05-18T00:40:11.947925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb67f50268099757a8cbfa82acb75b4b384d8cd348914e57c5294660465d98de

Aliases

arxiv: 1707.04871 · arxiv_version: 1707.04871v1 · doi: 10.48550/arxiv.1707.04871 · pith_short_12: XNT7KATIBGLV · pith_short_16: XNT7KATIBGLVPKGL · pith_short_8: XNT7KATI

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/XNT7KATIBGLVPKGL7KBKZN23JM \
  | 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: bb67f50268099757a8cbfa82acb75b4b384d8cd348914e57c5294660465d98de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb28c9428923bfc583a28177f7b985292465fe05b7658fdf9f89f20bb885b8fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-07-16T11:45:41Z",
    "title_canon_sha256": "f4fbf146f47fc69d6e8b744212fdfd7f5b32ccc6e83f6b862eba2a2059c483a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04871",
    "kind": "arxiv",
    "version": 1
  }
}