Pith Number

pith:BKSJHAMX

pith:2013:BKSJHAMXYQL2AISXQ574OYJ2C2

not attested not anchored not stored refs pending

Local rigidity for hyperbolic groups with Sierpi\'nski carpet boundaries

Sergei Merenkov

arxiv:1307.1792 v1 · 2013-07-06 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKSJHAMXYQL2AISXQ574OYJ2C2}

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	2026-05-17T23:53:15.284561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa4938197c417a02257877fc7613a169bd2e22c36849e9cefef55c576ac94f7

Aliases

arxiv: 1307.1792 · arxiv_version: 1307.1792v1 · doi: 10.48550/arxiv.1307.1792 · pith_short_12: BKSJHAMXYQL2 · pith_short_16: BKSJHAMXYQL2AISX · pith_short_8: BKSJHAMX

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/BKSJHAMXYQL2AISXQ574OYJ2C2 \
  | 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: 0aa4938197c417a02257877fc7613a169bd2e22c36849e9cefef55c576ac94f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c0ddff7f327be23a63a3c1603f80ffd59e600965d9bc6a36d3964ee0ae77d97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-07-06T15:19:09Z",
    "title_canon_sha256": "c19711c075779d90dc6f4578621e2a1fa7b4605f67fb48b127699509b888e6ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1792",
    "kind": "arxiv",
    "version": 1
  }
}