Pith Number

pith:MYCEXK7X

pith:2018:MYCEXK7X7RISGLWNT73NRL4YTI

not attested not anchored not stored refs pending

Free-free-Boolean independence for triples of algebras

Weihua Liu

arxiv:1801.03401 v1 · 2018-01-09 · 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{MYCEXK7X7RISGLWNT73NRL4YTI}

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	2026-05-18T00:26:17.177091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66044babf7fc51232ecd9ff6d8af989a19b657ae48fb232d0690f04028ec4495

Aliases

arxiv: 1801.03401 · arxiv_version: 1801.03401v1 · doi: 10.48550/arxiv.1801.03401 · pith_short_12: MYCEXK7X7RIS · pith_short_16: MYCEXK7X7RISGLWN · pith_short_8: MYCEXK7X

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/MYCEXK7X7RISGLWNT73NRL4YTI \
  | 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: 66044babf7fc51232ecd9ff6d8af989a19b657ae48fb232d0690f04028ec4495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8635d5a9353ef8152106046a2218788682f5761e125cad102aa0ac8d34b92730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-01-09T01:19:29Z",
    "title_canon_sha256": "5fac1e136f5743f28fa747a48a773a4da255ba52c0583d41399cce095de59c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03401",
    "kind": "arxiv",
    "version": 1
  }
}