Pith Number

pith:BKEGIPGY

pith:2023:BKEGIPGYHMU3RMGSTEFRXVQHWW

not attested not anchored not stored refs pending

A Cup Product Obstruction to Frobenius Stability

Forrest Glebe

arxiv:2312.01533 v3 · 2023-12-03 · math.OA · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKEGIPGYHMU3RMGSTEFRXVQHWW}

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	2026-07-05T07:42:21.964462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a88643cd83b29b8b0d2990b1bd607b587f9a3da272a34a90f502ae39245fdc3

Aliases

arxiv: 2312.01533 · arxiv_version: 2312.01533v3 · doi: 10.48550/arxiv.2312.01533 · pith_short_12: BKEGIPGYHMU3 · pith_short_16: BKEGIPGYHMU3RMGS · pith_short_8: BKEGIPGY

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/BKEGIPGYHMU3RMGSTEFRXVQHWW \
  | 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: 0a88643cd83b29b8b0d2990b1bd607b587f9a3da272a34a90f502ae39245fdc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d2fc27fcca406afea6ccc537cf5cf697c0c6cb57b206a54483ed405e0fb718",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2023-12-03T23:22:04Z",
    "title_canon_sha256": "c1c3587691d5139bae433ce28015cfaa13f656ac1b574090a349ce00904dc283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.01533",
    "kind": "arxiv",
    "version": 3
  }
}