Pith Number

pith:AXQHQQ27

pith:2012:AXQHQQ276CNLR3CD2KHSG2HPRD

not attested not anchored not stored refs pending

A saturation property of structures obtained by forcing with a compact family of random variables

Jan Krajicek

arxiv:1207.1548 v2 · 2012-07-06 · 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{AXQHQQ276CNLR3CD2KHSG2HPRD}

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	2026-05-18T03:35:25.690964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e078435ff09ab8ec43d28f2368ef88f8883d32d90770b77e20e52c836ce39f

Aliases

arxiv: 1207.1548 · arxiv_version: 1207.1548v2 · doi: 10.48550/arxiv.1207.1548 · pith_short_12: AXQHQQ276CNL · pith_short_16: AXQHQQ276CNLR3CD · pith_short_8: AXQHQQ27

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/AXQHQQ276CNLR3CD2KHSG2HPRD \
  | 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: 05e078435ff09ab8ec43d28f2368ef88f8883d32d90770b77e20e52c836ce39f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac75b1852925e7ccff742121acd578d537f13189af418fe904035c9d054344e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-07-06T08:00:38Z",
    "title_canon_sha256": "4b7392ac693035ea3d3b353d20cc4b1a0177124e06f18d569dcdca0898aae3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1548",
    "kind": "arxiv",
    "version": 2
  }
}