Pith Number

pith:Y2K66B2P

pith:2011:Y2K66B2P5KTU6UX52FVUSSQVJV

not attested not anchored not stored refs pending

Groups acting simply transitively on hyperbolic buildings

Alina Vdovina, Lisa Carbone, Riikka Kangaslampi

arxiv:1107.3690 v2 · 2011-07-19 · 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{Y2K66B2P5KTU6UX52FVUSSQVJV}

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	2026-05-17T23:53:36.533035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c695ef074feaa74f52fdd16b494a154d49f17b7c9329ff5c29b2fb381be505e3

Aliases

arxiv: 1107.3690 · arxiv_version: 1107.3690v2 · doi: 10.48550/arxiv.1107.3690 · pith_short_12: Y2K66B2P5KTU · pith_short_16: Y2K66B2P5KTU6UX5 · pith_short_8: Y2K66B2P

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/Y2K66B2P5KTU6UX52FVUSSQVJV \
  | 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: c695ef074feaa74f52fdd16b494a154d49f17b7c9329ff5c29b2fb381be505e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c5d7f0a0b2e0ccff12f98b5b1d86289751dd79844c9b601763159d151ad013",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-19T12:00:00Z",
    "title_canon_sha256": "8c22c537fc22e9fb0ca0f2c0384674ca93a647679b61bb71283406fd4985293e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3690",
    "kind": "arxiv",
    "version": 2
  }
}