Pith Number

pith:F5GX7NPW

pith:2012:F5GX7NPWFNUJNMNWX6LQEY3CB7

not attested not anchored not stored refs pending

Separating properties for normal ultrafilters

Shimon Garti

arxiv:1212.1542 v1 · 2012-12-07 · 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{F5GX7NPWFNUJNMNWX6LQEY3CB7}

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	2026-05-18T03:38:56.972977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f4d7fb5f62b6896b1b6bf970263620fef4e23d890d30dd8be627946c6206f2a

Aliases

arxiv: 1212.1542 · arxiv_version: 1212.1542v1 · doi: 10.48550/arxiv.1212.1542 · pith_short_12: F5GX7NPWFNUJ · pith_short_16: F5GX7NPWFNUJNMNW · pith_short_8: F5GX7NPW

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/F5GX7NPWFNUJNMNWX6LQEY3CB7 \
  | 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: 2f4d7fb5f62b6896b1b6bf970263620fef4e23d890d30dd8be627946c6206f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c32a2a94bd0059cf0de35a04e309ac3e2227a3697e76847df44fdfbceb5de4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-07T06:56:31Z",
    "title_canon_sha256": "b95e46ec348e5a01ec9ee1587de4df96be3634fc5717634cbc8cc548a277e5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1542",
    "kind": "arxiv",
    "version": 1
  }
}