Pith Number

pith:OKPD4UAB

pith:2026:OKPD4UAB5KVRZ46A6FVGE424TI

not attested not anchored not stored refs pending

On categories of monads and comonads in double categories

Christina Vasilakopoulou, Theofilos Tsantilas, Vasileios Aravantinos-Sotiropoulos

arxiv:2606.26755 v1 · 2026-06-25 · 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{OKPD4UAB5KVRZ46A6FVGE424TI}

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	2026-06-26T01:15:58.820837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

729e3e5001eaab1cf3c0f16a62735c9a028df15f81432d7322791ae0f693950d

Aliases

arxiv: 2606.26755 · arxiv_version: 2606.26755v1 · doi: 10.48550/arxiv.2606.26755 · pith_short_12: OKPD4UAB5KVR · pith_short_16: OKPD4UAB5KVRZ46A · pith_short_8: OKPD4UAB

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/OKPD4UAB5KVRZ46A6FVGE424TI \
  | 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: 729e3e5001eaab1cf3c0f16a62735c9a028df15f81432d7322791ae0f693950d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71e9853d0b3ef6f8cd27c846c0c28d15a715239414cab9975ad9a405ec82ae3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-25T08:40:18Z",
    "title_canon_sha256": "3adb2ec4761481eb651d8314feca628326b7fe147ed47812d9fb9b5282c44f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26755",
    "kind": "arxiv",
    "version": 1
  }
}