Pith Number

pith:K2FFUHDD

pith:2012:K2FFUHDD22D5LRXIUYOKSHEJLZ

not attested not anchored not stored refs pending

Loewy filtration and quantum de Rham cohomology over quantum divided power algebra

Haixia Gu, Naihong Hu

arxiv:1204.0664 v3 · 2012-04-03 · math.RT · 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{K2FFUHDD22D5LRXIUYOKSHEJLZ}

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	2026-05-18T02:16:21.702587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

568a5a1c63d687d5c6e8a61ca91c895e729fe4e5587d9ad52e848f53aad5bebd

Aliases

arxiv: 1204.0664 · arxiv_version: 1204.0664v3 · doi: 10.48550/arxiv.1204.0664 · pith_short_12: K2FFUHDD22D5 · pith_short_16: K2FFUHDD22D5LRXI · pith_short_8: K2FFUHDD

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/K2FFUHDD22D5LRXIUYOKSHEJLZ \
  | 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: 568a5a1c63d687d5c6e8a61ca91c895e729fe4e5587d9ad52e848f53aad5bebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b6ff7e4e106951cbe7c22a89f8c8785a2e5dfa1ab123cb51f30693597bfe637",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-03T11:48:26Z",
    "title_canon_sha256": "2c54f919d12ed12560f097c92880b0713c6f06d4f1440ef640e188cf0d9f7fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0664",
    "kind": "arxiv",
    "version": 3
  }
}