Pith Number

pith:LNBDNL65

pith:2012:LNBDNL65MYKPRPHGKTMOLTLT7M

not attested not anchored not stored refs pending

M-tensors and The Positive Definiteness of a Multivariate Form

Guanglu Zhou, Liping Zhang, Liqun Qi

arxiv:1202.6431 v1 · 2012-02-29 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNBDNL65MYKPRPHGKTMOLTLT7M}

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	2026-05-18T04:01:12.611137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4236afdd6614f8bce654d8e5cd73fb34b35b799294ab617cafdfb009d6fe10

Aliases

arxiv: 1202.6431 · arxiv_version: 1202.6431v1 · doi: 10.48550/arxiv.1202.6431 · pith_short_12: LNBDNL65MYKP · pith_short_16: LNBDNL65MYKPRPHG · pith_short_8: LNBDNL65

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/LNBDNL65MYKPRPHGKTMOLTLT7M \
  | 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: 5b4236afdd6614f8bce654d8e5cd73fb34b35b799294ab617cafdfb009d6fe10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf6328665a2018a19f4d0e3a28e99b5522c00dcf0823a0faf80af14423363c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-29T03:56:45Z",
    "title_canon_sha256": "b49681fe11ad214775470a3baefb21ef9c3a8bcef2ea7015ab12bf4947759565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6431",
    "kind": "arxiv",
    "version": 1
  }
}