Pith Number

pith:7CGHX2UN

pith:2018:7CGHX2UNDQC3OI47ZNFDU3JGHM

not attested not anchored not stored refs pending

A Lower Bound for the Cardinality of Function Basis of Tensor Invariants

Liqun Qi, Shenglong Hu

arxiv:1803.02011 v1 · 2018-03-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CGHX2UNDQC3OI47ZNFDU3JGHM}

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	2026-05-18T00:09:00.098436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88c7bea8d1c05b7239fcb4a3a6d263b234d8b9dd7b388c91c0026267341d58b

Aliases

arxiv: 1803.02011 · arxiv_version: 1803.02011v1 · doi: 10.48550/arxiv.1803.02011 · pith_short_12: 7CGHX2UNDQC3 · pith_short_16: 7CGHX2UNDQC3OI47 · pith_short_8: 7CGHX2UN

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/7CGHX2UNDQC3OI47ZNFDU3JGHM \
  | 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: f88c7bea8d1c05b7239fcb4a3a6d263b234d8b9dd7b388c91c0026267341d58b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845c53f6a411629518e6c60052b8140d538d6d2c18048a989775d6f7cd317d54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-06T04:43:50Z",
    "title_canon_sha256": "efb368a5364882bb6a6c3e1b7205f24af61eb7777494dfed88ed9539a12127bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02011",
    "kind": "arxiv",
    "version": 1
  }
}