Pith Number

pith:NBOQKJI4

pith:2014:NBOQKJI4DN7LL5BU4WLE24JKB3

not attested not anchored not stored refs pending

Homological dimensions of crossed products

Liping Li

arxiv:1404.4402 v2 · 2014-04-16 · math.GR · 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{NBOQKJI4DN7LL5BU4WLE24JKB3}

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	2026-05-18T02:49:45.490289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685d05251c1b7eb5f434e5964d712a0ef3664d1b7f60d99564a5e6780b789923

Aliases

arxiv: 1404.4402 · arxiv_version: 1404.4402v2 · doi: 10.48550/arxiv.1404.4402 · pith_short_12: NBOQKJI4DN7L · pith_short_16: NBOQKJI4DN7LL5BU · pith_short_8: NBOQKJI4

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/NBOQKJI4DN7LL5BU4WLE24JKB3 \
  | 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: 685d05251c1b7eb5f434e5964d712a0ef3664d1b7f60d99564a5e6780b789923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818244bc37f812f99128a266214f4bb0e9ca44d55e9b34a0b84d0873e9334e45",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-16T23:41:18Z",
    "title_canon_sha256": "27f44d6d83c94925fee9c479205ca748c0b1f8f6fb5aa5b9350d112953f37f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4402",
    "kind": "arxiv",
    "version": 2
  }
}