Pith Number

pith:B6IYTK23

pith:2026:B6IYTK23XD54EHGQ7K4DYHBF72

not attested not anchored not stored refs pending

Wild automorphisms and compound isotriviality

Jason Bell, Rahim Moosa

arxiv:2606.20228 v1 · 2026-06-18 · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6IYTK23XD54EHGQ7K4DYHBF72}

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	2026-06-19T16:13:06.398359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f9189ab5bb8fbc21cd0fab83c1c25feb5b1f16321918b80f8f30266b7b2c0cd

Aliases

arxiv: 2606.20228 · arxiv_version: 2606.20228v1 · doi: 10.48550/arxiv.2606.20228 · pith_short_12: B6IYTK23XD54 · pith_short_16: B6IYTK23XD54EHGQ · pith_short_8: B6IYTK23

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/B6IYTK23XD54EHGQ7K4DYHBF72 \
  | 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: 0f9189ab5bb8fbc21cd0fab83c1c25feb5b1f16321918b80f8f30266b7b2c0cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8585172192cae9e5306f4b387e9d6f805f950d07a05355efbe5e561b4c1fe4e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-18T13:40:37Z",
    "title_canon_sha256": "3175ac29d59109a827f55c123fdca942c51e8515682b88172e82ea0e2be625f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20228",
    "kind": "arxiv",
    "version": 1
  }
}