Pith Number

pith:MS4WAT5H

pith:2018:MS4WAT5H3HMODWXE34V5HQU7KH

not attested not anchored not stored refs pending

Totally non congruence Veech groups

Gabriela Weitze-Schmithuesen, Jan-Christoph Schlage-Puchta

arxiv:1802.05024 v1 · 2018-02-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MS4WAT5H3HMODWXE34V5HQU7KH}

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	2026-05-18T00:23:21.900747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b9604fa7d9d8e1dae4df2bd3c29f51d4f5bc50a80d3f6a309c3f556d56ce9f

Aliases

arxiv: 1802.05024 · arxiv_version: 1802.05024v1 · doi: 10.48550/arxiv.1802.05024 · pith_short_12: MS4WAT5H3HMO · pith_short_16: MS4WAT5H3HMODWXE · pith_short_8: MS4WAT5H

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/MS4WAT5H3HMODWXE34V5HQU7KH \
  | 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: 64b9604fa7d9d8e1dae4df2bd3c29f51d4f5bc50a80d3f6a309c3f556d56ce9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64215232091e88cbcfbaf6fed7b9fa75a463bfdaab8633ef865465c981791aad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-14T10:24:55Z",
    "title_canon_sha256": "38bd0f261484632a353fed1b9e50d6301a020b69696a8e05f4bcc251aeb8a9f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05024",
    "kind": "arxiv",
    "version": 1
  }
}