Pith Number

pith:YWQKVIHT

pith:2026:YWQKVIHT7BQO72TGUAKLZHUFS4

not attested not anchored not stored refs pending

A dynamical proof of non-arithmeticity of Jordan spectra

Hee Oh, Pratyush Sarkar

arxiv:2606.11528 v1 · 2026-06-10 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWQKVIHT7BQO72TGUAKLZHUFS4}

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	2026-06-11T01:09:54.328679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5a0aaa0f3f860efea66a014bc9e8597230df56ebfc2523762a02a373c815745

Aliases

arxiv: 2606.11528 · arxiv_version: 2606.11528v1 · doi: 10.48550/arxiv.2606.11528 · pith_short_12: YWQKVIHT7BQO · pith_short_16: YWQKVIHT7BQO72TG · pith_short_8: YWQKVIHT

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/YWQKVIHT7BQO72TGUAKLZHUFS4 \
  | 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: c5a0aaa0f3f860efea66a014bc9e8597230df56ebfc2523762a02a373c815745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794e0c6238709bb9ed4d1e54996a61e4dea649aecc300d33e342b3a942ff429c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-10T00:18:09Z",
    "title_canon_sha256": "225f0b42d5ff4f841f1a5ed9b0248d93c546d919a338d2d2f5ca6a423d18c52a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11528",
    "kind": "arxiv",
    "version": 1
  }
}