Pith Number

pith:HAFCARUE

pith:2017:HAFCARUECO35XADHZP7OSDTQDY

not attested not anchored not stored refs pending

Free-Boolean independence for pairs of algebras

Weihua Liu

arxiv:1710.01374 v2 · 2017-10-03 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAFCARUECO35XADHZP7OSDTQDY}

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	2026-05-18T00:29:45.483648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380a20468413b7db8067cbfee90e701e369fde0753ab6da73f1de35814c0ebaf

Aliases

arxiv: 1710.01374 · arxiv_version: 1710.01374v2 · doi: 10.48550/arxiv.1710.01374 · pith_short_12: HAFCARUECO35 · pith_short_16: HAFCARUECO35XADH · pith_short_8: HAFCARUE

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/HAFCARUECO35XADHZP7OSDTQDY \
  | 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: 380a20468413b7db8067cbfee90e701e369fde0753ab6da73f1de35814c0ebaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "503b32a83024cacef4ee42e0b5880f2c8a9810fec2bfbe399a51fa74ebc4d5da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-10-03T20:24:06Z",
    "title_canon_sha256": "021001ba307f35f6ca19aff429aa015aec2dfe556fac31e347e66848b3729911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01374",
    "kind": "arxiv",
    "version": 2
  }
}