Pith Number

pith:U5RAVA2P

pith:2015:U5RAVA2POWLMJG3UHVPZ72TXBK

not attested not anchored not stored refs pending

Boundary unitary representations - right-angled hyperbolic buildings

Jan Dymara, Uri Bader

arxiv:1506.06290 v1 · 2015-06-20 · math.DS · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5RAVA2POWLMJG3UHVPZ72TXBK}

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	2026-05-18T01:41:45.590263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7620a834f7596c49b743d5f9fea770ab251b9d9569fefe018e86be6769c661e

Aliases

arxiv: 1506.06290 · arxiv_version: 1506.06290v1 · doi: 10.48550/arxiv.1506.06290 · pith_short_12: U5RAVA2POWLM · pith_short_16: U5RAVA2POWLMJG3U · pith_short_8: U5RAVA2P

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/U5RAVA2POWLMJG3UHVPZ72TXBK \
  | 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: a7620a834f7596c49b743d5f9fea770ab251b9d9569fefe018e86be6769c661e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2f48304f7dcdcd54dc7e5c851a9e9747e10e28ec2df6fbad43c4976f83072d",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-20T20:31:00Z",
    "title_canon_sha256": "a9b8f68555e0186a063bae99cc7f8aec863b667b81829bd3bfd967b6a7e1e90f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06290",
    "kind": "arxiv",
    "version": 1
  }
}