Pith Number

pith:Q3VMC45B

pith:2014:Q3VMC45BZDW7JXPAJBG4MSPPAN

not attested not anchored not stored refs pending

The Generic Degrees of Density-1 Sets, and Characterization of the Hyperarithmetic Reals

Gregory Igusa

arxiv:1402.3747 v1 · 2014-02-16 · 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{Q3VMC45BZDW7JXPAJBG4MSPPAN}

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	2026-05-18T02:58:55.720718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86eac173a1c8edf4dde0484dc649ef036563e7c013422410acc768401f75c9d0

Aliases

arxiv: 1402.3747 · arxiv_version: 1402.3747v1 · doi: 10.48550/arxiv.1402.3747 · pith_short_12: Q3VMC45BZDW7 · pith_short_16: Q3VMC45BZDW7JXPA · pith_short_8: Q3VMC45B

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/Q3VMC45BZDW7JXPAJBG4MSPPAN \
  | 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: 86eac173a1c8edf4dde0484dc649ef036563e7c013422410acc768401f75c9d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85aecf715bf9582ef7ac2ddd5ba5bba11d8a1e58677097981e49ce8766136c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-02-16T02:38:43Z",
    "title_canon_sha256": "ae4dee8acc6d39faa5ed44f4b72448f46a453104c9574d0ab02c86706ba59095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3747",
    "kind": "arxiv",
    "version": 1
  }
}