Pith Number

pith:XKD6MSJI

pith:2005:XKD6MSJIRBXDWGVB6XZ5VYULKT

not attested not anchored not stored refs pending

Cotensor Coalgebras in Monoidal Categories

A. Ardizzoni, C. Menini, D. Stefan

arxiv:math/0507334 v1 · 2005-07-16 · math.QA · 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{XKD6MSJIRBXDWGVB6XZ5VYULKT}

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	2026-05-18T04:41:45.036600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba87e64928886e3b1aa1f5f3dae28b54f659cf85cdcc66577079c2de1fe5740b

Aliases

arxiv: math/0507334 · arxiv_version: math/0507334v1 · doi: 10.48550/arxiv.math/0507334 · pith_short_12: XKD6MSJIRBXD · pith_short_16: XKD6MSJIRBXDWGVB · pith_short_8: XKD6MSJI

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/XKD6MSJIRBXDWGVB6XZ5VYULKT \
  | 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: ba87e64928886e3b1aa1f5f3dae28b54f659cf85cdcc66577079c2de1fe5740b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6720c8fd08223459e430ed0053ac01b1b46c9481f6992d5b5d26942717ba45f",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-07-16T14:18:44Z",
    "title_canon_sha256": "ba7475a8549d5d2dd145bd808cf3c56a5d6c665fc0a40cecfdf0eee9ff0b2961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507334",
    "kind": "arxiv",
    "version": 1
  }
}