Pith Number

pith:Z7DDHIVC

pith:2017:Z7DDHIVCSKCMVIXB4K27FITBUB

not attested not anchored not stored refs pending

Irreducible Function Bases of Isotropic Invariants of A Third Order Three-Dimensional Symmetric and Traceless Tensor

Liqun Qi, Shenglong Hu, Wennan Zou, Yannan Chen

arxiv:1712.02087 v7 · 2017-12-06 · 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{Z7DDHIVCSKCMVIXB4K27FITBUB}

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	2026-05-18T00:07:50.304979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc633a2a29284caa2e1e2b5f2a261a043de0344a2321bc2c2428a6b7bba0cf1

Aliases

arxiv: 1712.02087 · arxiv_version: 1712.02087v7 · doi: 10.48550/arxiv.1712.02087 · pith_short_12: Z7DDHIVCSKCM · pith_short_16: Z7DDHIVCSKCMVIXB · pith_short_8: Z7DDHIVC

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/Z7DDHIVCSKCMVIXB4K27FITBUB \
  | 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: cfc633a2a29284caa2e1e2b5f2a261a043de0344a2321bc2c2428a6b7bba0cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d2a5085799bdc547f8d5cd65695fc2dc587aa0f450a043af6884937f8802c5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-06T08:59:00Z",
    "title_canon_sha256": "b66cf6de386133ff6acbf0ad68378443377c2bec34aab7fdeff70b31a5476d7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02087",
    "kind": "arxiv",
    "version": 7
  }
}