Pith Number

pith:EOQDYIWR

pith:2014:EOQDYIWRPOV3WPU33VKR7U2UCN

not attested not anchored not stored refs pending

Left-orderable groups that don't act on the line

Kathryn Mann

arxiv:1406.5575 v2 · 2014-06-21 · math.DS · 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{EOQDYIWRPOV3WPU33VKR7U2UCN}

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	2026-05-18T02:40:03.885146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a03c22d17babbb3e9bdd551fd3541357312e9841040e9b19e40a5f22198d32

Aliases

arxiv: 1406.5575 · arxiv_version: 1406.5575v2 · doi: 10.48550/arxiv.1406.5575 · pith_short_12: EOQDYIWRPOV3 · pith_short_16: EOQDYIWRPOV3WPU3 · pith_short_8: EOQDYIWR

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/EOQDYIWRPOV3WPU33VKR7U2UCN \
  | 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: 23a03c22d17babbb3e9bdd551fd3541357312e9841040e9b19e40a5f22198d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3c37373936f57a0a8abdb5cb565336e3709f5db17b8c2013c996ed4f5c83484",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-21T03:55:09Z",
    "title_canon_sha256": "b38fdc52ad15012ea336244c70cbcab5e5451be65d1ef5b30cc1d230ccf5c96a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5575",
    "kind": "arxiv",
    "version": 2
  }
}