Pith Number

pith:H3ZXLNUM

pith:2008:H3ZXLNUMTKEASOJT7QDEH7CIGM

not attested not anchored not stored refs pending

Depth of Boolean algebras

Saharon Shelah, Shimon Garti

arxiv:0802.4185 v1 · 2008-02-28 · 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{H3ZXLNUMTKEASOJT7QDEH7CIGM}

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	2026-05-18T03:46:32.267698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef375b68c9a88093933fc0643fc48330569e7169cc8418731a45049a6dc0b77

Aliases

arxiv: 0802.4185 · arxiv_version: 0802.4185v1 · doi: 10.48550/arxiv.0802.4185 · pith_short_12: H3ZXLNUMTKEA · pith_short_16: H3ZXLNUMTKEASOJT · pith_short_8: H3ZXLNUM

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/H3ZXLNUMTKEASOJT7QDEH7CIGM \
  | 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: 3ef375b68c9a88093933fc0643fc48330569e7169cc8418731a45049a6dc0b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddab48f83d02d0aa305224099f5ec927dd1d8822b14b2a1a319412d1d8087e18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2008-02-28T12:27:26Z",
    "title_canon_sha256": "ee1b2dff865687743679c04d1084e7da48cb8835661765993c33c6d99f107bec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4185",
    "kind": "arxiv",
    "version": 1
  }
}