Pith Number

pith:NQZ2X3ZD

pith:2014:NQZ2X3ZDE6UDDXJISQSVPREZFK

not attested not anchored not stored refs pending

A countable definable set of reals containing no definable elements

Vassily Lyubetsky, Vladimir Kanovei

arxiv:1408.3901 v2 · 2014-08-18 · 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{NQZ2X3ZDE6UDDXJISQSVPREZFK}

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	2026-05-18T00:06:44.243029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c33abef2327a831dd28942557c4992ab3a8f09ae5d360535265c4a9df4f414b

Aliases

arxiv: 1408.3901 · arxiv_version: 1408.3901v2 · doi: 10.48550/arxiv.1408.3901 · pith_short_12: NQZ2X3ZDE6UD · pith_short_16: NQZ2X3ZDE6UDDXJI · pith_short_8: NQZ2X3ZD

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/NQZ2X3ZDE6UDDXJISQSVPREZFK \
  | 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: 6c33abef2327a831dd28942557c4992ab3a8f09ae5d360535265c4a9df4f414b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47351af472de00eb752563fb1b127081bec187189d6ad345cfd946f4ac954361",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-18T06:18:27Z",
    "title_canon_sha256": "4a8f806279c6ab03b7fd1cc986e886299d7c15aaedd2cddda90d665933ed0dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3901",
    "kind": "arxiv",
    "version": 2
  }
}