Pith Number

pith:NCRD6XEM

pith:2017:NCRD6XEMIB6JCN2BEPKH53CUJZ

not attested not anchored not stored refs pending

$\Sigma_1(\kappa)$-definable subsets of $\mathrm{H}(\kappa^+)$

Philipp L\"ucke, Philipp Schlicht, Ralf Schindler

arxiv:1710.09766 v1 · 2017-10-26 · 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{NCRD6XEMIB6JCN2BEPKH53CUJZ}

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	2026-05-18T00:31:56.527269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a23f5c8c407c91374123d47eec544e6a3c5fd86b7a82f6d5ead1221713d3d1

Aliases

arxiv: 1710.09766 · arxiv_version: 1710.09766v1 · doi: 10.48550/arxiv.1710.09766 · pith_short_12: NCRD6XEMIB6J · pith_short_16: NCRD6XEMIB6JCN2B · pith_short_8: NCRD6XEM

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/NCRD6XEMIB6JCN2BEPKH53CUJZ \
  | 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: 68a23f5c8c407c91374123d47eec544e6a3c5fd86b7a82f6d5ead1221713d3d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6c9c8e8276d3ebf900faa555bda25f3975f9c00af81790af80490172562b70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-10-26T15:42:57Z",
    "title_canon_sha256": "bec1c21b63543d19685c51f43b202687448aadd7003e2c407225dd2245f101c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09766",
    "kind": "arxiv",
    "version": 1
  }
}