Pith Number

pith:NHDWLBHL

pith:2005:NHDWLBHLBSGBLH3ANKXWWMXG3E

not attested not anchored not stored refs pending

On DEPTH and DEPTH^+ of Boolean Algebras

Saharon Shelah, Shimon Garti

arxiv:math/0512217 v2 · 2005-12-10 · 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{NHDWLBHLBSGBLH3ANKXWWMXG3E}

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	2026-05-18T00:24:25.555154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c76584eb0c8c159f606aaf6b32e6d926b15e0b0a6e1625cdecb8961512a1ce

Aliases

arxiv: math/0512217 · arxiv_version: math/0512217v2 · doi: 10.48550/arxiv.math/0512217 · pith_short_12: NHDWLBHLBSGB · pith_short_16: NHDWLBHLBSGBLH3A · pith_short_8: NHDWLBHL

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/NHDWLBHLBSGBLH3ANKXWWMXG3E \
  | 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: 69c76584eb0c8c159f606aaf6b32e6d926b15e0b0a6e1625cdecb8961512a1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9330edd1454ce90667423bde953ebc9f21d76467d792476e3775cf3093c694",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2005-12-10T21:26:32Z",
    "title_canon_sha256": "a31a89493c94a2e9dec4129dbc41c7e88fb7236b128fd16b71d7754e9ed8018e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512217",
    "kind": "arxiv",
    "version": 2
  }
}