Pith Number

pith:UQU52EWR

pith:2007:UQU52EWROU7E5XM7VNJ4HBYZQD

not attested not anchored not stored refs pending

Morita theory of comodules over corings

Gabriella B\"ohm, Joost Vercruysse

arxiv:0710.1017 v2 · 2007-10-04 · 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{UQU52EWROU7E5XM7VNJ4HBYZQD}

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	2026-05-18T04:03:54.876433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a429dd12d1753e4edd9fab53c3871980ec99747b727c513ad547ee4dd76fc86f

Aliases

arxiv: 0710.1017 · arxiv_version: 0710.1017v2 · doi: 10.48550/arxiv.0710.1017 · pith_short_12: UQU52EWROU7E · pith_short_16: UQU52EWROU7E5XM7 · pith_short_8: UQU52EWR

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/UQU52EWROU7E5XM7VNJ4HBYZQD \
  | 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: a429dd12d1753e4edd9fab53c3871980ec99747b727c513ad547ee4dd76fc86f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14cc75305ff4797f31b3f0fbf3d54f3ea0ce75f937741929335d204b5d3582de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2007-10-04T14:13:34Z",
    "title_canon_sha256": "22fd085b002669b4feb9ae8189d2a9908eaefad10e6fb2175ea0fce003320128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1017",
    "kind": "arxiv",
    "version": 2
  }
}