Pith Number

pith:L46UZYHA

pith:2014:L46UZYHAXRRIGP356KOMFZOO2I

not attested not anchored not stored refs pending

Surface subgroups on 1-vertex and 3-vertex polyhedra forming triangular hyperbolic buildings

Riikka Kangaslampi

arxiv:1410.4655 v2 · 2014-10-17 · 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{L46UZYHAXRRIGP356KOMFZOO2I}

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	2026-05-18T01:36:43.588843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f3d4ce0e0bc62833f7df29cc2e5ced2169f3765c4e0691bcb4fe825643f0a94

Aliases

arxiv: 1410.4655 · arxiv_version: 1410.4655v2 · doi: 10.48550/arxiv.1410.4655 · pith_short_12: L46UZYHAXRRI · pith_short_16: L46UZYHAXRRIGP35 · pith_short_8: L46UZYHA

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/L46UZYHAXRRIGP356KOMFZOO2I \
  | 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: 5f3d4ce0e0bc62833f7df29cc2e5ced2169f3765c4e0691bcb4fe825643f0a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba5faeb1453ff12bfc13098a76462ef6ff20f49f01715a8e28d5d82b2a2c34ea",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-17T08:04:32Z",
    "title_canon_sha256": "0336af987bf2c3ae3e485ecd848e6a2e43245ac2110e89ba564174c7268a4c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4655",
    "kind": "arxiv",
    "version": 2
  }
}