Pith Number

pith:CPBGG3WN

pith:2026:CPBGG3WNINNMDUYEFFQBNUXXWE

not attested not anchored not stored refs pending

The Degeneracy of the Centre Comonad Model and the Precomposition Obstruction for Quantum Modalities on Presheaf Topoi

Joey Woo

arxiv:2606.09467 v1 · 2026-06-08 · math.CT · math-ph · math.MP · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPBGG3WNINNMDUYEFFQBNUXXWE}

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	2026-06-09T02:08:50.162009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c2636ecd435ac1d304296016d2f7b11b0974db2bfba828968717dfde862d5f

Aliases

arxiv: 2606.09467 · arxiv_version: 2606.09467v1 · doi: 10.48550/arxiv.2606.09467 · pith_short_12: CPBGG3WNINNM · pith_short_16: CPBGG3WNINNMDUYE · pith_short_8: CPBGG3WN

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/CPBGG3WNINNMDUYEFFQBNUXXWE \
  | 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: 13c2636ecd435ac1d304296016d2f7b11b0974db2bfba828968717dfde862d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c3696a0aab5502be9ba29e0469cc000061070f7910ab8fa9d7a2dbc3b1793b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-08T13:23:27Z",
    "title_canon_sha256": "9c27c49126e0e0b42e1ece781bd26633ea35e6f2d5c8fd7386e480cbfe5864b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09467",
    "kind": "arxiv",
    "version": 1
  }
}