Pith Number

pith:NKOLR767

pith:2021:NKOLR7672R22XDP7M7FXXVKFGU

not attested not anchored not stored refs pending

Invariant metrics on finite groups

Maximiliano G. Vides, Ricardo A. Podest\'a

arxiv:2112.15049 v1 · 2021-12-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKOLR7672R22XDP7M7FXXVKFGU}

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	2026-07-05T03:44:36.272873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9cb8ffdfd475ab8dff67cb7bd545350803797bfe9b297a56cf62f201b6fd21

Aliases

arxiv: 2112.15049 · arxiv_version: 2112.15049v1 · doi: 10.48550/arxiv.2112.15049 · pith_short_12: NKOLR7672R22 · pith_short_16: NKOLR7672R22XDP7 · pith_short_8: NKOLR767

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/NKOLR7672R22XDP7M7FXXVKFGU \
  | 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: 6a9cb8ffdfd475ab8dff67cb7bd545350803797bfe9b297a56cf62f201b6fd21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1a9817af4b3c7eb63794148401c268bdd7d0e39aa363d4797f1694a140f934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-30T13:17:47Z",
    "title_canon_sha256": "287b0c487ae2a5d9967297d1d97e96bfc7113873a88f357de8a06ad9c6c2dcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15049",
    "kind": "arxiv",
    "version": 1
  }
}