Pith Number

pith:VYA7V4JR

pith:2025:VYA7V4JRH6SE2WDJU4PFFFM3CA

not attested not anchored not stored refs pending

Fundamental generalized Legendrian rack and classical invariants

Zhiyi He, Zhiyun Cheng

arxiv:2507.18500 v1 · 2025-07-24 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYA7V4JRH6SE2WDJU4PFFFM3CA}

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

Good involutions of conjugation subquandles

Receipt and verification

First computed	2026-07-05T11:42:49.098976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae01faf1313fa44d5869a71e52959b101ce5a51a7d659e1d9efc3736dee01611

Aliases

arxiv: 2507.18500 · arxiv_version: 2507.18500v1 · doi: 10.48550/arxiv.2507.18500 · pith_short_12: VYA7V4JRH6SE · pith_short_16: VYA7V4JRH6SE2WDJ · pith_short_8: VYA7V4JR

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/VYA7V4JRH6SE2WDJU4PFFFM3CA \
  | 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: ae01faf1313fa44d5869a71e52959b101ce5a51a7d659e1d9efc3736dee01611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec17f01a639bfc1b65ef94c147896b31fbb367fa6a5f1606d07e3d3a3c8cdb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-07-24T15:16:59Z",
    "title_canon_sha256": "3e58aa9de2847cdbc061b3aa6edab00742c6c5a966b3f843e3a6ea03465d7c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18500",
    "kind": "arxiv",
    "version": 1
  }
}