Pith Number

pith:K6DCEPPL

pith:2020:K6DCEPPL4HZR45GJ7CKDOC6DVC

not attested not anchored not stored refs pending

Freely adjoining monoidal duals

Kevin Coulembier, Michel Van den Bergh, Ross Street

arxiv:2004.09697 v1 · 2020-04-21 · 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{K6DCEPPL4HZR45GJ7CKDOC6DVC}

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.

Cited by

1 paper in Pith

Representation gaps of rigid planar diagram monoids

Receipt and verification

First computed	2026-07-05T06:22:53.048897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5786223debe1f31e74c9f894370bc3a8a0715dcc3fcdcd44aa40d9f08d64f873

Aliases

arxiv: 2004.09697 · arxiv_version: 2004.09697v1 · doi: 10.48550/arxiv.2004.09697 · pith_short_12: K6DCEPPL4HZR · pith_short_16: K6DCEPPL4HZR45GJ · pith_short_8: K6DCEPPL

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/K6DCEPPL4HZR45GJ7CKDOC6DVC \
  | 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: 5786223debe1f31e74c9f894370bc3a8a0715dcc3fcdcd44aa40d9f08d64f873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a134664aba383be96877406a29806d28acdda93273b92b677ea5d8e06b79ccb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-04-21T01:09:37Z",
    "title_canon_sha256": "e0295cbc19a666aaec5fd8403c261156d18c64af91e4ad61d5e58284fb9f24b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09697",
    "kind": "arxiv",
    "version": 1
  }
}