Pith Number

pith:6QKCZATO

pith:2018:6QKCZATOZ7VEWMQ5XARE6WFZ2V

not attested not anchored not stored refs pending

(Weak) incidence bialgebras of monoidal categories

Lucia Rotheray, Ulrich Kraehmer

arxiv:1803.07897 v4 · 2018-03-21 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QKCZATOZ7VEWMQ5XARE6WFZ2V}

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	2026-05-17T23:48:40.646805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4142c826ecfea4b321db8224f58b9d576fec9ec782ef6ee8a9b82de819f9ae0

Aliases

arxiv: 1803.07897 · arxiv_version: 1803.07897v4 · doi: 10.48550/arxiv.1803.07897 · pith_short_12: 6QKCZATOZ7VE · pith_short_16: 6QKCZATOZ7VEWMQ5 · pith_short_8: 6QKCZATO

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/6QKCZATOZ7VEWMQ5XARE6WFZ2V \
  | 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: f4142c826ecfea4b321db8224f58b9d576fec9ec782ef6ee8a9b82de819f9ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a49c98b37f004825b23336273c1ddf3cdbf56a105ab38eb7cb7eb44f44af3fcb",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-03-21T13:12:19Z",
    "title_canon_sha256": "0fd03263663f4e9ca3ee6dd4bfce52c8da4371211d709ec1e79489b11a1f2f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07897",
    "kind": "arxiv",
    "version": 4
  }
}