Pith Number

pith:DW2HNQXP

pith:2018:DW2HNQXPGVI3ST5HMRRX4F7FPZ

not attested not anchored not stored refs pending

Dense computability, upper cones, and minimal pairs

Carl G. Jockusch Jr, Denis R. Hirschfeldt, Eric P. Astor

arxiv:1811.07172 v1 · 2018-11-17 · 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{DW2HNQXPGVI3ST5HMRRX4F7FPZ}

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	2026-05-18T00:00:28.724697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1db476c2ef3551b94fa764637e17e57e5bb530568f25d7cab80ae187ef6bd604

Aliases

arxiv: 1811.07172 · arxiv_version: 1811.07172v1 · doi: 10.48550/arxiv.1811.07172 · pith_short_12: DW2HNQXPGVI3 · pith_short_16: DW2HNQXPGVI3ST5H · pith_short_8: DW2HNQXP

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/DW2HNQXPGVI3ST5HMRRX4F7FPZ \
  | 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: 1db476c2ef3551b94fa764637e17e57e5bb530568f25d7cab80ae187ef6bd604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a954c19bf3a3718dfb98a89fb79e5142a0a82f96ad14e04cc417a34787cd1ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-11-17T14:51:41Z",
    "title_canon_sha256": "64d6d8169b9c7b166dfe00fab8a88b74f71c23ac5d12a02a160fbba82f7dbf0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07172",
    "kind": "arxiv",
    "version": 1
  }
}