Pith Number

pith:7PV2WCFL

pith:2012:7PV2WCFL4LA2PH2PX5HUR4TP3M

not attested not anchored not stored refs pending

On the cardinality of the $\theta$-closed hull of sets II

Andrei Catalioto, Bruno Antonio Pansera, Filippo Cammaroto, Jack Porter

arxiv:1206.6554 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{7PV2WCFL4LA2PH2PX5HUR4TP3M}

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	2026-05-18T03:38:14.149063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbebab08abe2c1a79f4fbf4f48f26fdb3ce2ab7dcae6a7c53cdcee9b574481de

Aliases

arxiv: 1206.6554 · arxiv_version: 1206.6554v2 · doi: 10.48550/arxiv.1206.6554 · pith_short_12: 7PV2WCFL4LA2 · pith_short_16: 7PV2WCFL4LA2PH2P · pith_short_8: 7PV2WCFL

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/7PV2WCFL4LA2PH2PX5HUR4TP3M \
  | 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: fbebab08abe2c1a79f4fbf4f48f26fdb3ce2ab7dcae6a7c53cdcee9b574481de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3245a5278739dfe34fe5827b1bb7751d0df963e6ae7b1246be131ab80ff1f7f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-06-28T03:22:11Z",
    "title_canon_sha256": "502adc958046d1d31d5dc44187a4c46da49d89ff3df6e2aeea68ed322483f0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6554",
    "kind": "arxiv",
    "version": 2
  }
}