Pith Number

pith:6WP7DCQC

pith:2019:6WP7DCQC5XYSWH7IZ5VXEJYJSP

not attested not anchored not stored refs pending

Introduction to $\mathrm{G}_2$ geometry

Spiro Karigiannis

arxiv:1909.09717 v2 · 2019-09-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WP7DCQC5XYSWH7IZ5VXEJYJSP}

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

$\mathcal{SW}$-algebras and strings with torsion

Receipt and verification

First computed	2026-07-05T01:08:24.862604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f59ff18a02edf12b1fe8cf6b72270993c3d16241eff8cc899c26062c5f8d648e

Aliases

arxiv: 1909.09717 · arxiv_version: 1909.09717v2 · doi: 10.48550/arxiv.1909.09717 · pith_short_12: 6WP7DCQC5XYS · pith_short_16: 6WP7DCQC5XYSWH7I · pith_short_8: 6WP7DCQC

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/6WP7DCQC5XYSWH7IZ5VXEJYJSP \
  | 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: f59ff18a02edf12b1fe8cf6b72270993c3d16241eff8cc899c26062c5f8d648e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b23a19c78ebcbbfb981bbba89fcabd0ce01fd90890cfd2296b79530f60ab832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-20T21:05:28Z",
    "title_canon_sha256": "55ddf2eb98818e16e8d7c84d1f107572e98cc8e75d62ea5dccf899b2d9b50f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.09717",
    "kind": "arxiv",
    "version": 2
  }
}