Pith Number

pith:KXO2QX65

pith:2016:KXO2QX65KK5FY7HT4Y6SRLNOZC

not attested not anchored not stored refs pending

In Cohen generic extension, every countable OD set of reals belongs to the ground model

Vladimir Kanovei

arxiv:1607.02880 v1 · 2016-07-11 · math.LO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXO2QX65KK5FY7HT4Y6SRLNOZC}

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	2026-05-18T00:07:55.771368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55dda85fdd52ba5c7cf3e63d28adaec89c13cc47a83cbad12d9c397d66e2891e

Aliases

arxiv: 1607.02880 · arxiv_version: 1607.02880v1 · doi: 10.48550/arxiv.1607.02880 · pith_short_12: KXO2QX65KK5F · pith_short_16: KXO2QX65KK5FY7HT · pith_short_8: KXO2QX65

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/KXO2QX65KK5FY7HT4Y6SRLNOZC \
  | 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: 55dda85fdd52ba5c7cf3e63d28adaec89c13cc47a83cbad12d9c397d66e2891e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66c9d3717c41390530f1acc9d52ea5c9f44b7b54ad8eebe212b6d137e75a4edd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-07-11T10:00:50Z",
    "title_canon_sha256": "ec813816d7e3287d0515e940129ce84c4668131a2158d45548e77caf6705d713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02880",
    "kind": "arxiv",
    "version": 1
  }
}