Pith Number

pith:E2UWYYDF

pith:2011:E2UWYYDFC5XKERIAR6FIOKUFLZ

not attested not anchored not stored refs pending

Regular tessellations of the hyperbolic plane by fundamental domains of a Fuchsian group

Robert Yuncken

arxiv:1103.2051 v1 · 2011-03-10 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2UWYYDFC5XKERIAR6FIOKUFLZ}

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	2026-05-18T04:27:03.094709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a96c6065176ea245008f8a872a855e5cb4b300f4b360a3073bddd83def078e

Aliases

arxiv: 1103.2051 · arxiv_version: 1103.2051v1 · doi: 10.48550/arxiv.1103.2051 · pith_short_12: E2UWYYDFC5XK · pith_short_16: E2UWYYDFC5XKERIA · pith_short_8: E2UWYYDF

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/E2UWYYDFC5XKERIAR6FIOKUFLZ \
  | 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: 26a96c6065176ea245008f8a872a855e5cb4b300f4b360a3073bddd83def078e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1c6654d9c63f646e2015df4162653e22491ec9be733969939e50c99d6e3c4e4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-10T14:48:23Z",
    "title_canon_sha256": "daf7f88ada15e80b0f1a8693591fa2ca6aa319091fd919d7a64aa3b1e9950337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2051",
    "kind": "arxiv",
    "version": 1
  }
}