Pith Number

pith:WJLK7K5P

pith:2019:WJLK7K5PNR2YMVVIAJQCDOM2AQ

not attested not anchored not stored refs pending

On faithfully balanced modules, F-cotilting and F-Auslander algebras

Biao Ma, Julia Sauter

arxiv:1901.07855 v2 · 2019-01-23 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJLK7K5PNR2YMVVIAJQCDOM2AQ}

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	2026-05-17T23:43:42.681212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b256afabaf6c758656a8026021b99a041c45e1773280005733899c384482afc9

Aliases

arxiv: 1901.07855 · arxiv_version: 1901.07855v2 · doi: 10.48550/arxiv.1901.07855 · pith_short_12: WJLK7K5PNR2Y · pith_short_16: WJLK7K5PNR2YMVVI · pith_short_8: WJLK7K5P

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/WJLK7K5PNR2YMVVIAJQCDOM2AQ \
  | 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: b256afabaf6c758656a8026021b99a041c45e1773280005733899c384482afc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67eb8fcd9024d2188008063ee8ff87b50939f6239a84d85ecb790e0929441f4c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-01-23T13:00:40Z",
    "title_canon_sha256": "a0598e25c11ae262883486025f6a1c99a98bfc3b87c06bdd1d3db10a0a9a6b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07855",
    "kind": "arxiv",
    "version": 2
  }
}