Pith Number

pith:SOAGYV2S

pith:2026:SOAGYV2SLM5LB24V4BIXDKLLEV

not attested not anchored not stored refs pending

Existential Inclusions of Bi-exact Groups are Conjugacy Representation Rigid

Connor MacMahon

arxiv:2606.19322 v1 · 2026-06-17 · math.GR · math.LO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOAGYV2SLM5LB24V4BIXDKLLEV}

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	2026-06-19T16:12:11.099341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93806c57525b3ab0eb95e05171a96b255ed0565e6fc37544efe95c0088603a33

Aliases

arxiv: 2606.19322 · arxiv_version: 2606.19322v1 · doi: 10.48550/arxiv.2606.19322 · pith_short_12: SOAGYV2SLM5L · pith_short_16: SOAGYV2SLM5LB24V · pith_short_8: SOAGYV2S

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/SOAGYV2SLM5LB24V4BIXDKLLEV \
  | 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: 93806c57525b3ab0eb95e05171a96b255ed0565e6fc37544efe95c0088603a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12cc00fdb3880efee24972d6e2bda172fd07db59926b40dd548e3e66115aac10",
    "cross_cats_sorted": [
      "math.LO",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-17T17:49:15Z",
    "title_canon_sha256": "334f79afd5c1b65f4adff7708d79de2f8af79a63346dc2b871b944fd313f7e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19322",
    "kind": "arxiv",
    "version": 1
  }
}