Pith Number

pith:TXH7UK7I

pith:2026:TXH7UK7IMBHGT6UASXHN4MCVVU

not attested not anchored not stored refs pending

Hecke Triangle Groups and Special Hyperbolic Elements

Karl Winsor

arxiv:2605.30064 v1 · 2026-05-28 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXH7UK7IMBHGT6UASXHN4MCVVU}

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	2026-05-29T02:06:08.949609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcffa2be8604e69fa8095cede3055ad1c97e1f9aa03dba318cee9de6a399771

Aliases

arxiv: 2605.30064 · arxiv_version: 2605.30064v1 · doi: 10.48550/arxiv.2605.30064 · pith_short_12: TXH7UK7IMBHG · pith_short_16: TXH7UK7IMBHGT6UA · pith_short_8: TXH7UK7I

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/TXH7UK7IMBHGT6UASXHN4MCVVU \
  | 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: 9dcffa2be8604e69fa8095cede3055ad1c97e1f9aa03dba318cee9de6a399771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84d379affa539a01f7350258f979ec7c950d776c60939c1765854f9e81af946",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-28T15:14:07Z",
    "title_canon_sha256": "3f36108ddb565d3d8f28e70d50ecceeeb224c825235bdaa97afb9f95f200e558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30064",
    "kind": "arxiv",
    "version": 1
  }
}