Pith Number

pith:NJQY2LKE

pith:2026:NJQY2LKEFA6AWLB2MT6SHRDXPA

not attested not anchored not stored refs pending

Virtual inheritance properties of graph products

Shengkui Ye, Xiaolei Wu, Xiaoming Huang

arxiv:2606.14148 v2 · 2026-06-12 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJQY2LKEFA6AWLB2MT6SHRDXPA}

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	2026-06-19T16:12:21.557423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a618d2d44283c0b2c3a64fd23c4777830fca6b8e51ddf7b20fd7eaf7fed3614

Aliases

arxiv: 2606.14148 · arxiv_version: 2606.14148v2 · doi: 10.48550/arxiv.2606.14148 · pith_short_12: NJQY2LKEFA6A · pith_short_16: NJQY2LKEFA6AWLB2 · pith_short_8: NJQY2LKE

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/NJQY2LKEFA6AWLB2MT6SHRDXPA \
  | 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: 6a618d2d44283c0b2c3a64fd23c4777830fca6b8e51ddf7b20fd7eaf7fed3614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d90712cb74cffbdcd5b277fb70a9b209b4cd1d81ea22e397de32f0a2c817a21e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-12T06:21:15Z",
    "title_canon_sha256": "734cf61d673b37be8964bf87811f294b3a3523784c11f2e741a10fc4cdf5fec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.14148",
    "kind": "arxiv",
    "version": 2
  }
}