Pith Number

pith:XMGRTYRT

pith:2014:XMGRTYRT5POHY3W34OA4A2NPDI

not attested not anchored not stored refs pending

Counterexamples to countable-section $\varPi^1_2$ uniformization and $\varPi^1_3$ separation

Vassily Lyubetsky, Vladimir Kanovei

arxiv:1410.2537 v2 · 2014-10-09 · math.LO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMGRTYRT5POHY3W34OA4A2NPDI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:08:05.509874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0d19e233ebdc7c6edbe381c069af1a35403381e4d678b3b378589b5f3efa30

Aliases

arxiv: 1410.2537 · arxiv_version: 1410.2537v2 · doi: 10.48550/arxiv.1410.2537 · pith_short_12: XMGRTYRT5POH · pith_short_16: XMGRTYRT5POHY3W3 · pith_short_8: XMGRTYRT

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/XMGRTYRT5POHY3W34OA4A2NPDI \
  | 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: bb0d19e233ebdc7c6edbe381c069af1a35403381e4d678b3b378589b5f3efa30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c399bd53760cff4952f58c5b0a29334b4233aef103530d71da85d856092d814",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-10-09T17:27:12Z",
    "title_canon_sha256": "447ad724cd2da2a84ff70d945aca67e2c4a366533d48fc540ec16d6bd190a7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2537",
    "kind": "arxiv",
    "version": 2
  }
}