Pith Number

pith:UUVC4HX5

pith:1993:UUVC4HX5QHV5S3Q2V76LL247PP

not attested not anchored not stored refs pending

Borel partitions of infinite subtrees of a perfect tree

Alain Louveau, Boban Veli\v{c}kovi\'c, Saharon Shelah

arxiv:math/9301209 v1 · 1993-01-15 · 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{UUVC4HX5QHV5S3Q2V76LL247PP}

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	2026-05-18T01:05:52.378613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52a2e1efd81ebd96e1aaffcb5eb9f7beca96fbf60cf9fb45132e79365c9ef44

Aliases

arxiv: math/9301209 · arxiv_version: math/9301209v1 · doi: 10.48550/arxiv.math/9301209 · pith_short_12: UUVC4HX5QHV5 · pith_short_16: UUVC4HX5QHV5S3Q2 · pith_short_8: UUVC4HX5

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/UUVC4HX5QHV5S3Q2V76LL247PP \
  | 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: a52a2e1efd81ebd96e1aaffcb5eb9f7beca96fbf60cf9fb45132e79365c9ef44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047fe888b383cc31616a2fb208a2cfc62e4c146fd5c38ba18e2b70878c12064b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1993-01-15T00:00:00Z",
    "title_canon_sha256": "ea37261527356fa26ecc2e637470b6b32456eb8c18312930c29bb4e9464b68e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9301209",
    "kind": "arxiv",
    "version": 1
  }
}