Pith Number

pith:JJ46MLZM

pith:2019:JJ46MLZMQLNQ7ICKEHGCATG4P4

not attested not anchored not stored refs pending

Noncommutative Joinings II

Jan Cameron, Jon Bannon, Kunal Mukherjee

arxiv:1905.06725 v1 · 2019-05-16 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ46MLZMQLNQ7ICKEHGCATG4P4}

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	2026-05-17T23:46:01.228493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a79e62f2c82db0fa04a21cc204cdc7f290a5c84855abbd0b0376b3431fa0d08

Aliases

arxiv: 1905.06725 · arxiv_version: 1905.06725v1 · doi: 10.48550/arxiv.1905.06725 · pith_short_12: JJ46MLZMQLNQ · pith_short_16: JJ46MLZMQLNQ7ICK · pith_short_8: JJ46MLZM

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/JJ46MLZMQLNQ7ICKEHGCATG4P4 \
  | 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: 4a79e62f2c82db0fa04a21cc204cdc7f290a5c84855abbd0b0376b3431fa0d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9328f6eb716dd8a9f632f3758a7666c55f00b891a6cd594833815e6c05e8ca65",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-05-16T13:18:43Z",
    "title_canon_sha256": "cd8013c1a91b016951c3865e52ef05628a34ddd0dd832a04b30901ec47991c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06725",
    "kind": "arxiv",
    "version": 1
  }
}