Pith Number

pith:CAQDJXWD

pith:2018:CAQDJXWDFYYCPG7ME7SEQ4FSNX

not attested not anchored not stored refs pending

Trace class groups: the case of semi-direct products

Gerrit van Dijk

arxiv:1801.09930 v1 · 2018-01-30 · math.RT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAQDJXWDFYYCPG7ME7SEQ4FSNX}

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	2026-05-18T00:24:46.351612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102034dec32e30279bec27e44870b26df37f8aa571bfbd7f9ff116a82ed884c7

Aliases

arxiv: 1801.09930 · arxiv_version: 1801.09930v1 · doi: 10.48550/arxiv.1801.09930 · pith_short_12: CAQDJXWDFYYC · pith_short_16: CAQDJXWDFYYCPG7M · pith_short_8: CAQDJXWD

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/CAQDJXWDFYYCPG7ME7SEQ4FSNX \
  | 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: 102034dec32e30279bec27e44870b26df37f8aa571bfbd7f9ff116a82ed884c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d8de9ccd8a77d6e4fc3067989f23499154754360f9a2eb7993b20eaabe3cda5",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-01-30T11:00:19Z",
    "title_canon_sha256": "40b1c82f05d4874b13764d7fa84b8df8a258c9742fa54fe734fc46bd5aaf8d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09930",
    "kind": "arxiv",
    "version": 1
  }
}