Pith Number

pith:QQVQNIJ6

pith:2010:QQVQNIJ6N7OGIDODDCZXHQGZ75

not attested not anchored not stored refs pending

A bounded jump for the bounded Turing degrees

Barbara F. Csima, Bernard A. Anderson

arxiv:1007.3692 v2 · 2010-07-21 · 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{QQVQNIJ6N7OGIDODDCZXHQGZ75}

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	2026-05-18T01:21:05.925571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

842b06a13e6fdc640dc318b373c0d9ff7b7e743b49c73128c545f43961c2d398

Aliases

arxiv: 1007.3692 · arxiv_version: 1007.3692v2 · doi: 10.48550/arxiv.1007.3692 · pith_short_12: QQVQNIJ6N7OG · pith_short_16: QQVQNIJ6N7OGIDOD · pith_short_8: QQVQNIJ6

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/QQVQNIJ6N7OGIDODDCZXHQGZ75 \
  | 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: 842b06a13e6fdc640dc318b373c0d9ff7b7e743b49c73128c545f43961c2d398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a88983ac934c5a2300a670d16b73d30b425ad67b61e119052212c833db4ad8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-07-21T16:50:05Z",
    "title_canon_sha256": "c992b553640d92fe1c4faa9e16107331ea767565923b288a5cdca417c571bb9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3692",
    "kind": "arxiv",
    "version": 2
  }
}