Pith Number

pith:HRCXYQVR

pith:2002:HRCXYQVR7XW45DKDCJVXALZSOS

not attested not anchored not stored refs pending

Semisimple corings

F. J. Lobillo, J. Gomez-Torrecillas, L. El Kaoutit

arxiv:math/0201070 v1 · 2002-01-09 · math.RA · 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{HRCXYQVR7XW45DKDCJVXALZSOS}

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	2026-05-18T03:51:13.189628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c457c42b1fdedce8d43126b702f32749cb73ef24788b317afa9b13917396da0

Aliases

arxiv: math/0201070 · arxiv_version: math/0201070v1 · doi: 10.48550/arxiv.math/0201070 · pith_short_12: HRCXYQVR7XW4 · pith_short_16: HRCXYQVR7XW45DKD · pith_short_8: HRCXYQVR

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/HRCXYQVR7XW45DKDCJVXALZSOS \
  | 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: 3c457c42b1fdedce8d43126b702f32749cb73ef24788b317afa9b13917396da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "253ac5be14e22e9e31c6f766ee2c8e318712e8a6d64dee5a2a18b1c4f49a6c3f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2002-01-09T12:56:07Z",
    "title_canon_sha256": "51d5a0b5f11576df1089feda73e3fa55d98782f90da0e31b248241a475b4f9a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201070",
    "kind": "arxiv",
    "version": 1
  }
}