Pith Number

pith:GC375GL7

pith:2003:GC375GL7AZOSTEXRTCN6O2N4O5

not attested not anchored not stored refs pending

The relation between the decomposition of comodules and coalgebras

Shouchuan Zhang

arxiv:math/0311521 v1 · 2003-11-28 · math.QA · 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{GC375GL7AZOSTEXRTCN6O2N4O5}

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

Bicovariant Codifferential Calculi

Receipt and verification

First computed	2026-07-04T14:38:02.387734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b7fe997f065d2992f1989be769bc7748655e9a078c06087e92a8f32462c637

Aliases

arxiv: math/0311521 · arxiv_version: math/0311521v1 · doi: 10.48550/arxiv.math/0311521 · pith_short_12: GC375GL7AZOS · pith_short_16: GC375GL7AZOSTEXR · pith_short_8: GC375GL7

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/GC375GL7AZOSTEXRTCN6O2N4O5 \
  | 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: 30b7fe997f065d2992f1989be769bc7748655e9a078c06087e92a8f32462c637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4f1db87d28214086a3d61971d8b87830ec91c478692e9bc6ddcd4abc862cde",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-11-28T09:25:41Z",
    "title_canon_sha256": "ad2824bba74d0105aeed2cc6b2bdcfbf4c0eb216b08c60d7b255fb68263b5bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311521",
    "kind": "arxiv",
    "version": 1
  }
}