Pith Number

pith:ZJVNIHHH

pith:2012:ZJVNIHHHQZOCN3ZDBC2TXIDM6C

not attested not anchored not stored refs pending

On two topological cardinal invariants of an order-theoretic flavour

Santi Spadaro

arxiv:1212.5725 v1 · 2012-12-22 · math.GN · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJVNIHHHQZOCN3ZDBC2TXIDM6C}

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	2026-05-18T03:37:51.647114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6ad41ce7865c26ef2308b53ba06cf0b7d607ecabb0893e4adf17d865e3437b

Aliases

arxiv: 1212.5725 · arxiv_version: 1212.5725v1 · doi: 10.48550/arxiv.1212.5725 · pith_short_12: ZJVNIHHHQZOC · pith_short_16: ZJVNIHHHQZOCN3ZD · pith_short_8: ZJVNIHHH

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/ZJVNIHHHQZOCN3ZDBC2TXIDM6C \
  | 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: ca6ad41ce7865c26ef2308b53ba06cf0b7d607ecabb0893e4adf17d865e3437b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b108aff7bf632ebdf64dbc780d6bf4c5bdaa4284c99d5890d704c338957f5a",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-12-22T20:58:04Z",
    "title_canon_sha256": "9a342f37a7b51b7326f360787e0ee0b1d848b251e5959304b0e43a8dc111cfc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5725",
    "kind": "arxiv",
    "version": 1
  }
}