Pith Number

pith:D2BQEQK6

pith:2019:D2BQEQK6CXFEH2IH6NTLBW2EX4

not attested not anchored not stored refs pending

On PM-monoids and braid PM-monoids

Toshinori Miyatani

arxiv:1906.09398 v1 · 2019-06-22 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2BQEQK6CXFEH2IH6NTLBW2EX4}

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	2026-05-17T23:42:38.239919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8302415e15ca43e907f366b0db44bf2c1ec046883554c59e7635e21515ec81

Aliases

arxiv: 1906.09398 · arxiv_version: 1906.09398v1 · doi: 10.48550/arxiv.1906.09398 · pith_short_12: D2BQEQK6CXFE · pith_short_16: D2BQEQK6CXFEH2IH · pith_short_8: D2BQEQK6

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/D2BQEQK6CXFEH2IH6NTLBW2EX4 \
  | 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: 1e8302415e15ca43e907f366b0db44bf2c1ec046883554c59e7635e21515ec81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1de0af4448b9e17b74c4d176387a5fe73c177a112da1ce2d2abf7962510e82f0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-22T06:37:03Z",
    "title_canon_sha256": "66a999aa536d6f60ba1ec74d8795de415faa2018288d9a9564a8975e1568d975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09398",
    "kind": "arxiv",
    "version": 1
  }
}