Pith Number

pith:STSO7AZY

pith:2012:STSO7AZYDY47M5ME5KPHBUJHFG

not attested not anchored not stored refs pending

Thin ultrafilters, P-hierarchu and MArtin Axiom

Andrzej Starosolski, Micha{\l} Machura

arxiv:1201.1725 v1 · 2012-01-09 · 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{STSO7AZYDY47M5ME5KPHBUJHFG}

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	2026-05-18T04:04:55.838380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94e4ef83381e39f67584ea9e70d127298b41389aa7777c810fd55d82c0dbcc27

Aliases

arxiv: 1201.1725 · arxiv_version: 1201.1725v1 · doi: 10.48550/arxiv.1201.1725 · pith_short_12: STSO7AZYDY47 · pith_short_16: STSO7AZYDY47M5ME · pith_short_8: STSO7AZY

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/STSO7AZYDY47M5ME5KPHBUJHFG \
  | 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: 94e4ef83381e39f67584ea9e70d127298b41389aa7777c810fd55d82c0dbcc27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b5816229e630a4b1c291998bd3cd4da5223312b6e99d928fc92494c2eee97e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-09T10:19:48Z",
    "title_canon_sha256": "ecb21d4560c101a7f3dae3c806b2bc3cfd03a277962c691436f5e9962ecc49cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1725",
    "kind": "arxiv",
    "version": 1
  }
}