Pith Number

pith:MLCNCJUW

pith:2025:MLCNCJUWFIRQXUC2MA7PV2MABU

not attested not anchored not stored refs pending

Nearly Parallel $\mathrm{G}_{2}$-Structures with Torus Symmetry

Andrew Swann, Giovanni Russo

arxiv:2508.21703 v2 · 2025-08-29 · 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{MLCNCJUWFIRQXUC2MA7PV2MABU}

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	2026-05-20T00:00:23.047619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62c4d126962a230bd05a603efae9800d318021847ebd9cd811840d9cc70b5969

Aliases

arxiv: 2508.21703 · arxiv_version: 2508.21703v2 · doi: 10.48550/arxiv.2508.21703 · pith_short_12: MLCNCJUWFIRQ · pith_short_16: MLCNCJUWFIRQXUC2 · pith_short_8: MLCNCJUW

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/MLCNCJUWFIRQXUC2MA7PV2MABU \
  | 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: 62c4d126962a230bd05a603efae9800d318021847ebd9cd811840d9cc70b5969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f488f63915f013bdd7410b790fff7796d8aa63bf94022060c7df33a32b027504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-29T15:13:54Z",
    "title_canon_sha256": "e69cda6b661b853b5aea1ac5dc6cb760d2febd1c47462db0080cb2bcf04784fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21703",
    "kind": "arxiv",
    "version": 2
  }
}