Pith Number

pith:JQAYCPFF

pith:2010:JQAYCPFFGIO5NCEDMQJEC7EY3E

not attested not anchored not stored refs pending

Faithful actions of automorphisms on the space of orderings of a group

Thomas Koberda

arxiv:1011.2811 v3 · 2010-11-12 · math.GT · 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{JQAYCPFFGIO5NCEDMQJEC7EY3E}

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	2026-05-18T04:07:05.406936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c01813ca5321dd688836412417c98d920142830e6086c47709b4c2b02be92f0

Aliases

arxiv: 1011.2811 · arxiv_version: 1011.2811v3 · doi: 10.48550/arxiv.1011.2811 · pith_short_12: JQAYCPFFGIO5 · pith_short_16: JQAYCPFFGIO5NCED · pith_short_8: JQAYCPFF

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/JQAYCPFFGIO5NCEDMQJEC7EY3E \
  | 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: 4c01813ca5321dd688836412417c98d920142830e6086c47709b4c2b02be92f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff9cc955ef41d9f4499f6dc010f3ccef14991b4b073c4e5ad2ae5426f5c5e33",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-12T02:37:54Z",
    "title_canon_sha256": "091b3cdb5db465596c568472c32746783214f4657081a7c55ddb2b82f8881d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2811",
    "kind": "arxiv",
    "version": 3
  }
}