Pith Number

pith:R3UUFCTO

pith:2009:R3UUFCTOHVFSAOBBNSTZ373AJU

not attested not anchored not stored refs pending

The space of left orders of a group is either finite or uncountable

Peter A. Linnell

arxiv:0909.2497 v1 · 2009-09-14 · 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{R3UUFCTOHVFSAOBBNSTZ373AJU}

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	2026-05-18T02:58:02.784046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee9428a6e3d4b2038216ca79dff604d09587b4a1ad86e0f6806b4425956cacb

Aliases

arxiv: 0909.2497 · arxiv_version: 0909.2497v1 · doi: 10.48550/arxiv.0909.2497 · pith_short_12: R3UUFCTOHVFS · pith_short_16: R3UUFCTOHVFSAOBB · pith_short_8: R3UUFCTO

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/R3UUFCTOHVFSAOBBNSTZ373AJU \
  | 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: 8ee9428a6e3d4b2038216ca79dff604d09587b4a1ad86e0f6806b4425956cacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa518392a9b4338f25d0a546f96d3cfc220c9ec02256ae3dc73367edd50a485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-09-14T09:41:12Z",
    "title_canon_sha256": "7dcefd38b79c8e734595fc10804d6527fceb570822ac6d26adb44a143c0b8927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2497",
    "kind": "arxiv",
    "version": 1
  }
}