Pith Number

pith:AK423JYB

pith:2018:AK423JYBSX7YHCOGUHTOMHT57B

not attested not anchored not stored refs pending

Gorenstein flat modules with respect to duality pairs

Gang Yang, Zhanping Wang

arxiv:1802.05197 v1 · 2018-02-14 · 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{AK423JYBSX7YHCOGUHTOMHT57B}

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	2026-05-18T00:23:20.073118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b9ada70195ff8389c6a1e6e61e7df84b2e9ab4de7bdff1797050ad7d79c456

Aliases

arxiv: 1802.05197 · arxiv_version: 1802.05197v1 · doi: 10.48550/arxiv.1802.05197 · pith_short_12: AK423JYBSX7Y · pith_short_16: AK423JYBSX7YHCOG · pith_short_8: AK423JYB

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/AK423JYBSX7YHCOGUHTOMHT57B \
  | 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: 02b9ada70195ff8389c6a1e6e61e7df84b2e9ab4de7bdff1797050ad7d79c456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75759e3079d7c6e3881178b96ee4fb8fd1c334adbf2c33c0aac6cf2c2483a775",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-02-14T16:40:52Z",
    "title_canon_sha256": "d4af413701ee1a95478fb98f2fc8be58bf205049fb61ea40bd5ab4660c1876cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05197",
    "kind": "arxiv",
    "version": 1
  }
}