Pith Number

pith:FNGH6Q6N

pith:2018:FNGH6Q6N2RNTKMQIBR734EVE6L

not attested not anchored not stored refs pending

An Irreducible Function Basis of Isotropic Invariants of A Third Order Three-Dimensional Symmetric Tensor

Jinjie Liu, Liqun Qi, QuanShui Zheng, Wennan Zou, Zhongming Chen

arxiv:1803.01269 v2 · 2018-03-04 · 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{FNGH6Q6N2RNTKMQIBR734EVE6L}

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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	2026-05-18T00:07:10.557504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4c7f43cdd45b3532080c7fbe12a4f2c116f9a7f78ce3eb6c31028fd419b4ee

Aliases

arxiv: 1803.01269 · arxiv_version: 1803.01269v2 · doi: 10.48550/arxiv.1803.01269 · pith_short_12: FNGH6Q6N2RNT · pith_short_16: FNGH6Q6N2RNTKMQI · pith_short_8: FNGH6Q6N

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/FNGH6Q6N2RNTKMQIBR734EVE6L \
  | 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: 2b4c7f43cdd45b3532080c7fbe12a4f2c116f9a7f78ce3eb6c31028fd419b4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f777aa4ec636f5284191590161525dcc748053e3a148f51062c8273f9c333a0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-04T00:10:41Z",
    "title_canon_sha256": "accedfc40b7fd93ae28b24b5df480c3fd1bad6a0c9fe391a2bfd3fa7a878a421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01269",
    "kind": "arxiv",
    "version": 2
  }
}