Pith Number

pith:O6PTQLU6

pith:2025:O6PTQLU6TLYP7CMP3Z7Y642QMY

not attested not anchored not stored refs pending

The Balmer spectrum and telescope conjecture for infinite groups

Gregory Kendall

arxiv:2504.16602 v1 · 2025-04-23 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6PTQLU6TLYP7CMP3Z7Y642QMY}

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	2026-07-05T10:53:02.086843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779f382e9e9af0ff898fde7f8f735066255f8ea7ddcc5d4b740408fd9559e1d7

Aliases

arxiv: 2504.16602 · arxiv_version: 2504.16602v1 · doi: 10.48550/arxiv.2504.16602 · pith_short_12: O6PTQLU6TLYP · pith_short_16: O6PTQLU6TLYP7CMP · pith_short_8: O6PTQLU6

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/O6PTQLU6TLYP7CMP3Z7Y642QMY \
  | 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: 779f382e9e9af0ff898fde7f8f735066255f8ea7ddcc5d4b740408fd9559e1d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5213ed7e29cb4a15f40369fd88f8e4eeea88069640b6cb99147c696dd04de058",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-04-23T10:32:32Z",
    "title_canon_sha256": "34768365d8010f218e532adca898f5ea44e7230bfebb90681bef3f834eaf69e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16602",
    "kind": "arxiv",
    "version": 1
  }
}