Pith Number

pith:YXXTT75Y

pith:2023:YXXTT75YWJ3USP4EPDGV6BPH5W

not attested not anchored not stored refs pending

Groups $\Gamma_n^4$: algebraic properties

O.G. Styrt

arxiv:2309.17317 v1 · 2023-09-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXXTT75YWJ3USP4EPDGV6BPH5W}

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.

Cited by

1 paper in Pith

On the structure of groups defined by Kim and Manturov

Receipt and verification

First computed	2026-07-05T06:55:43.723702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5ef39ffb8b277493f8478cd5f05e7ed9230adc1937a3a612acccfcf6007185d

Aliases

arxiv: 2309.17317 · arxiv_version: 2309.17317v1 · doi: 10.48550/arxiv.2309.17317 · pith_short_12: YXXTT75YWJ3U · pith_short_16: YXXTT75YWJ3USP4E · pith_short_8: YXXTT75Y

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/YXXTT75YWJ3USP4EPDGV6BPH5W \
  | 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: c5ef39ffb8b277493f8478cd5f05e7ed9230adc1937a3a612acccfcf6007185d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d5c6006d253dd24529ca7298e65220207c20e1cfaab1f651bed7979ddb36622",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-29T15:25:03Z",
    "title_canon_sha256": "5a3d19b46c3f9861cd7b11ba2a6886b7a209bd540a1ed5fa8a23b4cebcd0349f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.17317",
    "kind": "arxiv",
    "version": 1
  }
}