Pith Number

pith:W4FGXONS

pith:2013:W4FGXONS4PWQUBRT5WQQB66REX

not attested not anchored not stored refs pending

Finite translation surfaces with maximal number of translations

Gabriela Weitze-Schmithuesen, Jan-Christoph Schlage-Puchta

arxiv:1311.7446 v1 · 2013-11-28 · math.GT · 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{W4FGXONS4PWQUBRT5WQQB66REX}

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	2026-05-18T03:05:56.214958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b70a6bb9b2e3ed0a0633eda100fbd125e7f8a648bf9d1905f965dc440b38a686

Aliases

arxiv: 1311.7446 · arxiv_version: 1311.7446v1 · doi: 10.48550/arxiv.1311.7446 · pith_short_12: W4FGXONS4PWQ · pith_short_16: W4FGXONS4PWQUBRT · pith_short_8: W4FGXONS

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/W4FGXONS4PWQUBRT5WQQB66REX \
  | 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: b70a6bb9b2e3ed0a0633eda100fbd125e7f8a648bf9d1905f965dc440b38a686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42bb2e5ea19fc3181b6328802c0d8b41b6fac487cd2b02a0ae9dbeb815e51dcf",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-28T23:57:55Z",
    "title_canon_sha256": "5deb22e23f9bcdef09ae7c8b5dabe39858affa575753e4264e51205692680905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7446",
    "kind": "arxiv",
    "version": 1
  }
}