Pith Number

pith:QJ6O6AZY

pith:2024:QJ6O6AZYWECV6AMOL7UOANXVCB

not attested not anchored not stored refs pending

Sweedler theory for double categories

Christina Vasilakopoulou, Vasileios Aravantinos-Sotiropoulos

arxiv:2408.03180 v3 · 2024-08-06 · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ6O6AZYWECV6AMOL7UOANXVCB}

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

On categories of monads and comonads in double categories

Receipt and verification

First computed	2026-07-05T10:08:19.986933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827cef0338b1055f018e5fe8e036f5105e3ed08471cbb02989fddb5493dedb6f

Aliases

arxiv: 2408.03180 · arxiv_version: 2408.03180v3 · doi: 10.48550/arxiv.2408.03180 · pith_short_12: QJ6O6AZYWECV · pith_short_16: QJ6O6AZYWECV6AMO · pith_short_8: QJ6O6AZY

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/QJ6O6AZYWECV6AMOL7UOANXVCB \
  | 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: 827cef0338b1055f018e5fe8e036f5105e3ed08471cbb02989fddb5493dedb6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f584565e97d1d7fb9a8b2715bdad78898fc1c633a818e4d5d6feebb1eb3d5b76",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-08-06T13:29:09Z",
    "title_canon_sha256": "3b661dc33effc2a759a787ca0e84afd6c287f3a836c3a7e7ad204295bcbfb418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.03180",
    "kind": "arxiv",
    "version": 3
  }
}