Pith Number

pith:TI4SZETK

pith:2019:TI4SZETK3KD6PM2FH2CYK45PY4

not attested not anchored not stored refs pending

Exponent of a finite group admitting a coprime automorphism

Pavel Shumyatsky, Sara Rodrigues

arxiv:1907.02396 v1 · 2019-07-04 · 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{TI4SZETK3KD6PM2FH2CYK45PY4}

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	2026-05-17T23:41:28.713220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a392c926ada87e7b3453e858573afc70607891dda6af769794cc2921cbcebac

Aliases

arxiv: 1907.02396 · arxiv_version: 1907.02396v1 · doi: 10.48550/arxiv.1907.02396 · pith_short_12: TI4SZETK3KD6 · pith_short_16: TI4SZETK3KD6PM2F · pith_short_8: TI4SZETK

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/TI4SZETK3KD6PM2FH2CYK45PY4 \
  | 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: 9a392c926ada87e7b3453e858573afc70607891dda6af769794cc2921cbcebac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b45a4882742d7acf1a145148e8768e1923cfccf8b9f979a8d3a89e21f2a904f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-07-04T13:34:00Z",
    "title_canon_sha256": "e56b2bd99460964478ca82690d7cbd9e7ef4cb745d70e5d302351761740d85da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02396",
    "kind": "arxiv",
    "version": 1
  }
}