Pith Number

pith:7SRJ5ZFG

pith:2017:7SRJ5ZFGCQWD5Z5XDINE5M4DJT

not attested not anchored not stored refs pending

Non-uniformizable sets with countable cross-sections on a given level of the projective hierarchy

Vassily Lyubetsky, Vladimir Kanovei

arxiv:1712.00769 v3 · 2017-12-03 · 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{7SRJ5ZFGCQWD5Z5XDINE5M4DJT}

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	2026-05-18T00:01:30.331089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca29ee4a6142c3ee7b71a1a4eb3834ce04518ac37c969ccb84cd184fcc6fed8

Aliases

arxiv: 1712.00769 · arxiv_version: 1712.00769v3 · doi: 10.48550/arxiv.1712.00769 · pith_short_12: 7SRJ5ZFGCQWD · pith_short_16: 7SRJ5ZFGCQWD5Z5X · pith_short_8: 7SRJ5ZFG

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/7SRJ5ZFGCQWD5Z5XDINE5M4DJT \
  | 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: fca29ee4a6142c3ee7b71a1a4eb3834ce04518ac37c969ccb84cd184fcc6fed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9346298b70bab82c125091cf6a88bb54bb2fce5ef3dd6ed5974b1ec54b516ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-12-03T13:47:31Z",
    "title_canon_sha256": "b8071de90124ace920c53a6d54d7b72fced6ad4a2f60fd14a1a47cf104a88b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00769",
    "kind": "arxiv",
    "version": 3
  }
}