Pith Number

pith:PVJA4BDX

pith:2023:PVJA4BDXV7TF5VGKFIV3CD3VI6

not attested not anchored not stored refs pending

Enriched Morita theory of monoids in a closed symmetric monoidal category

Jaehyeok Lee, Jae-Suk Park

arxiv:2303.11883 v4 · 2023-03-21 · 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{PVJA4BDXV7TF5VGKFIV3CD3VI6}

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	2026-07-05T09:23:43.260545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d520e0477afe65ed4ca2a2bb10f75478581b7803377678c5bba283d95485e56

Aliases

arxiv: 2303.11883 · arxiv_version: 2303.11883v4 · doi: 10.48550/arxiv.2303.11883 · pith_short_12: PVJA4BDXV7TF · pith_short_16: PVJA4BDXV7TF5VGK · pith_short_8: PVJA4BDX

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/PVJA4BDXV7TF5VGKFIV3CD3VI6 \
  | 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: 7d520e0477afe65ed4ca2a2bb10f75478581b7803377678c5bba283d95485e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36879e1a42124f75f3a8641624e0da07d785d0edaeae33d12c8520c58685e01",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-03-21T14:24:54Z",
    "title_canon_sha256": "903b70eb49863dc52e3dd46b19f176251e5e7ccdb863f70e3b1fcbf57e8a84ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11883",
    "kind": "arxiv",
    "version": 4
  }
}