Pith Number

pith:OUMRRG3W

pith:2013:OUMRRG3WYOHK3HHMGVSLD6HQUQ

not attested not anchored not stored refs pending

On a topological simple Warne extension of a semigroup

Iryna Fihel, Kateryna Pavlyk, Oleg Gutik

arxiv:1301.1232 v1 · 2013-01-07 · 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{OUMRRG3WYOHK3HHMGVSLD6HQUQ}

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	2026-05-18T03:37:06.449459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7519189b76c38ead9cec3564b1f8f0a4291adb6fe45c771a0421e4c562f03074

Aliases

arxiv: 1301.1232 · arxiv_version: 1301.1232v1 · doi: 10.48550/arxiv.1301.1232 · pith_short_12: OUMRRG3WYOHK · pith_short_16: OUMRRG3WYOHK3HHM · pith_short_8: OUMRRG3W

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/OUMRRG3WYOHK3HHMGVSLD6HQUQ \
  | 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: 7519189b76c38ead9cec3564b1f8f0a4291adb6fe45c771a0421e4c562f03074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbce2f06371cd46469ea65680147e72da829d99febfef339f5768b5da44293ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-07T15:45:04Z",
    "title_canon_sha256": "1a5ead4246cf1cc2c52d047b6ee83d7c8b30193610e5b81a501e078d42b60837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1232",
    "kind": "arxiv",
    "version": 1
  }
}