Pith Number

pith:ERDTHJH4

pith:2019:ERDTHJH453BRLRJD2FJ2P42OVM

not attested not anchored not stored refs pending

A Polynomially Irreducible Functional Basis of Hemitropic Invariants of Piezoelectric Tensors

L. Qi, W. Zou, Y. Chen, Z. Ming

arxiv:1901.01701 v1 · 2019-01-07 · 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{ERDTHJH453BRLRJD2FJ2P42OVM}

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	2026-05-17T23:56:51.418691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

244733a4fceec315c523d153a7f34eab35d6b9cdc7b09169955144c30018958a

Aliases

arxiv: 1901.01701 · arxiv_version: 1901.01701v1 · doi: 10.48550/arxiv.1901.01701 · pith_short_12: ERDTHJH453BR · pith_short_16: ERDTHJH453BRLRJD · pith_short_8: ERDTHJH4

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/ERDTHJH453BRLRJD2FJ2P42OVM \
  | 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: 244733a4fceec315c523d153a7f34eab35d6b9cdc7b09169955144c30018958a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27fbb1e2fc9c18c4f06e958d7d3709616e5fea437b9ff1590f11c8b35bdc277d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-01-07T08:28:20Z",
    "title_canon_sha256": "e5aabbd1e92be7d015a7c9e1f57f9b67815ec5e409f862370beb0224abfbf24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01701",
    "kind": "arxiv",
    "version": 1
  }
}