Pith Number

pith:HXHWYPYM

pith:2016:HXHWYPYMH5OBLI3FBPSL4LA5TS

not attested not anchored not stored refs pending

Representation embeddings and the second Brauer-Thrall conjecture

Klaus Bongartz

arxiv:1611.02017 v5 · 2016-11-07 · 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{HXHWYPYMH5OBLI3FBPSL4LA5TS}

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.

Cited by

2 papers in Pith

Complete invariants for simultaneous similarity

Receipt and verification

First computed	2026-07-05T06:14:31.874214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dcf6c3f0c3f5c15a3650be4be2c1d9ca1764a472d0006622b9578505adc658f

Aliases

arxiv: 1611.02017 · arxiv_version: 1611.02017v5 · doi: 10.48550/arxiv.1611.02017 · pith_short_12: HXHWYPYMH5OB · pith_short_16: HXHWYPYMH5OBLI3F · pith_short_8: HXHWYPYM

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/HXHWYPYMH5OBLI3FBPSL4LA5TS \
  | 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: 3dcf6c3f0c3f5c15a3650be4be2c1d9ca1764a472d0006622b9578505adc658f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5518082fb18719421dcbbb9615f1adb99961bd6292ee9ecfd9b345d3b03ed32f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-07T12:25:44Z",
    "title_canon_sha256": "01d10da06844d019bedc1fcc983eed3efc1a1479cf17104f0fdc70bc6bf8291d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02017",
    "kind": "arxiv",
    "version": 5
  }
}