Pith Number

pith:CXNFBPCA

pith:2021:CXNFBPCAUMUFYIBDKIUSBZ2LZB

not attested not anchored not stored refs pending

On generating sets of infinite symmetric group

Aleksandra Denisova, Andrei V. Semenov

arxiv:2109.09174 v1 · 2021-09-19 · math.GR · 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{CXNFBPCAUMUFYIBDKIUSBZ2LZB}

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	2026-07-05T03:15:42.374902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15da50bc40a3285c2023522920e74bc869ed7e0addd867ec8a433eeeb6716496

Aliases

arxiv: 2109.09174 · arxiv_version: 2109.09174v1 · doi: 10.48550/arxiv.2109.09174 · pith_short_12: CXNFBPCAUMUF · pith_short_16: CXNFBPCAUMUFYIBD · pith_short_8: CXNFBPCA

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/CXNFBPCAUMUFYIBDKIUSBZ2LZB \
  | 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: 15da50bc40a3285c2023522920e74bc869ed7e0addd867ec8a433eeeb6716496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa4251a3fa7a1ba6ea8eb6f0f7b2cd060c2045d735ccb905cc18180fded1712",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-09-19T17:27:09Z",
    "title_canon_sha256": "1a8de1444a2f16859fad458060fa1c82d09bd227e88b8c7caf2cd2be049124c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.09174",
    "kind": "arxiv",
    "version": 1
  }
}