Pith Number

pith:7CHIZI42

pith:2012:7CHIZI42YCX4LY3EAQWQFXHO7W

not attested not anchored not stored refs pending

Cardinal functions $F_{\theta}(X)$ and $t_{\theta}(X)$ for H-closed spaces

Andrei Catalioto, Filippo Cammaroto, Jack Porter

arxiv:1206.6555 v2 · 2012-06-28 · 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{7CHIZI42YCX4LY3EAQWQFXHO7W}

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	2026-05-18T03:38:14.140562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88e8ca39ac0afc5e364042d02dceefd8f584fcc60a17b9f4163648c493ad335

Aliases

arxiv: 1206.6555 · arxiv_version: 1206.6555v2 · doi: 10.48550/arxiv.1206.6555 · pith_short_12: 7CHIZI42YCX4 · pith_short_16: 7CHIZI42YCX4LY3E · pith_short_8: 7CHIZI42

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/7CHIZI42YCX4LY3EAQWQFXHO7W \
  | 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: f88e8ca39ac0afc5e364042d02dceefd8f584fcc60a17b9f4163648c493ad335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bfdec755c24c3821f6f6406092b3d4c125915053c83844b55071f0da0dc5d1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-06-28T03:22:45Z",
    "title_canon_sha256": "567eff1994f8e92855e96cb8eb8f9f64e5593c1de4b472d859cb3c75b6baa997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6555",
    "kind": "arxiv",
    "version": 2
  }
}