Pith Number

pith:GRHWJLA3

pith:2013:GRHWJLA3DXU6DVJTQMBVZCYHCC

not attested not anchored not stored refs pending

Vector cross product in n-dimensional vector space

Chao Tian, Chao Yang, Xiu-Lao Tian, Yang Hu

arxiv:1310.5197 v1 · 2013-10-19 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRHWJLA3DXU6DVJTQMBVZCYHCC}

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	2026-05-18T03:09:46.848698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344f64ac1b1de9e1d53383035c8b07109cec9b9a48de340353f1abc32eae2590

Aliases

arxiv: 1310.5197 · arxiv_version: 1310.5197v1 · doi: 10.48550/arxiv.1310.5197 · pith_short_12: GRHWJLA3DXU6 · pith_short_16: GRHWJLA3DXU6DVJT · pith_short_8: GRHWJLA3

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/GRHWJLA3DXU6DVJTQMBVZCYHCC \
  | 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: 344f64ac1b1de9e1d53383035c8b07109cec9b9a48de340353f1abc32eae2590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eedf80453f7e41a402f954f19f9ec0e6d404bd4d79d361f76048843090f5db5f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-19T02:53:49Z",
    "title_canon_sha256": "e6150cbe71fc36a9ff6eea99bf2bb5fa1264f2123d2445ac3a7b19b17d39c32b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5197",
    "kind": "arxiv",
    "version": 1
  }
}