Pith Number

pith:G6YOQT3M

pith:2011:G6YOQT3M3QCXEXAJZZ4UNVYGJZ

not attested not anchored not stored refs pending

Congruences on bicyclic extensions of a linearly ordered group

Du\v{s}an Pagon, Kateryna Pavlyk, Oleg Gutik

arxiv:1111.2401 v1 · 2011-11-10 · 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{G6YOQT3M3QCXEXAJZZ4UNVYGJZ}

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	2026-05-18T04:05:26.803617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b0e84f6cdc05725c09ce7946d7064e6a76a8e86020fbab87dff0f69c79a4da

Aliases

arxiv: 1111.2401 · arxiv_version: 1111.2401v1 · doi: 10.48550/arxiv.1111.2401 · pith_short_12: G6YOQT3M3QCX · pith_short_16: G6YOQT3M3QCXEXAJ · pith_short_8: G6YOQT3M

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/G6YOQT3M3QCXEXAJZZ4UNVYGJZ \
  | 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: 37b0e84f6cdc05725c09ce7946d7064e6a76a8e86020fbab87dff0f69c79a4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74369f84869dc7cef5fd23518bde5f057ee60bf4121dcaa1340e4805e1903dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-10T06:37:44Z",
    "title_canon_sha256": "87f2b80ec474206302e14557163e4e0901d51cd17e1d32a6de0988237d950a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2401",
    "kind": "arxiv",
    "version": 1
  }
}