Pith Number

pith:TYIP5TJN

pith:2016:TYIP5TJNQXDZOHYK27U4RK5KOA

not attested not anchored not stored refs pending

Twisted partial actions and extensions of semilattices of groups by groups

Mikhailo Dokuchaev, Mykola Khrypchenko

arxiv:1602.02424 v2 · 2016-02-07 · 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{TYIP5TJNQXDZOHYK27U4RK5KOA}

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	2026-05-18T00:38:36.612273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e10fecd2d85c7971f0ad7e9c8abaa7010626e61b3a14c8239502ffae7bbca55

Aliases

arxiv: 1602.02424 · arxiv_version: 1602.02424v2 · doi: 10.48550/arxiv.1602.02424 · pith_short_12: TYIP5TJNQXDZ · pith_short_16: TYIP5TJNQXDZOHYK · pith_short_8: TYIP5TJN

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/TYIP5TJNQXDZOHYK27U4RK5KOA \
  | 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: 9e10fecd2d85c7971f0ad7e9c8abaa7010626e61b3a14c8239502ffae7bbca55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c349f1956560ac684cfb7910ccf28e0a24dbbd729778251b5d221243f2bda707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-02-07T20:59:36Z",
    "title_canon_sha256": "fd060da1addc0d2c24ad74b84b902ed3a912f459c59d361943ad1e0f5e2c4dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02424",
    "kind": "arxiv",
    "version": 2
  }
}