Pith Number

pith:KM2K4MXC

pith:2011:KM2K4MXCY2SS6CRMCDSLM6DTFZ

not attested not anchored not stored refs pending

Construction of isolated left orderings via partially central cyclic amalgamation

Tetsuya Ito

arxiv:1107.0545 v3 · 2011-07-04 · 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{KM2K4MXCY2SS6CRMCDSLM6DTFZ}

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	2026-05-18T03:33:12.136200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5334ae32e2c6a52f0a2c10e4b678732e583a922e8fa63eb1e6261f115d448e0a

Aliases

arxiv: 1107.0545 · arxiv_version: 1107.0545v3 · doi: 10.48550/arxiv.1107.0545 · pith_short_12: KM2K4MXCY2SS · pith_short_16: KM2K4MXCY2SS6CRM · pith_short_8: KM2K4MXC

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/KM2K4MXCY2SS6CRMCDSLM6DTFZ \
  | 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: 5334ae32e2c6a52f0a2c10e4b678732e583a922e8fa63eb1e6261f115d448e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c6b9ee1199adab28b7a507f7a7bbb6979c35edb5fd21fa5121ede786aa3f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-04T07:10:13Z",
    "title_canon_sha256": "cbfcf45c12dc2b1ac6e2c1014af29bf0e6522c0d5d0d424156096c1f2f99bc75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0545",
    "kind": "arxiv",
    "version": 3
  }
}