Pith Number

pith:ZN6T3QXC

pith:2018:ZN6T3QXCHVAL62T6SUOA6SSGD4

not attested not anchored not stored refs pending

Borel sets without perfectly many overlapping translations

Andrzej Roslanowski, Saharon Shelah

arxiv:1806.06283 v1 · 2018-06-16 · 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{ZN6T3QXCHVAL62T6SUOA6SSGD4}

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	2026-05-18T00:13:03.032217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7d3dc2e23d40bf6a7e951c0f4a461f0cd4b440721066a6e4a9b9a6374b8cce

Aliases

arxiv: 1806.06283 · arxiv_version: 1806.06283v1 · doi: 10.48550/arxiv.1806.06283 · pith_short_12: ZN6T3QXCHVAL · pith_short_16: ZN6T3QXCHVAL62T6 · pith_short_8: ZN6T3QXC

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/ZN6T3QXCHVAL62T6SUOA6SSGD4 \
  | 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: cb7d3dc2e23d40bf6a7e951c0f4a461f0cd4b440721066a6e4a9b9a6374b8cce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23d14f27c9bd35b83f38f01bf4cc5f6a0a89abf4b3964f3f4e34399ac45960bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-06-16T19:22:54Z",
    "title_canon_sha256": "a0f4efe638fefb571c29ebf7fcad34e775122d1444fce7dac3fd45fa2259e64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06283",
    "kind": "arxiv",
    "version": 1
  }
}