Pith Number

pith:PRPRCWY4

pith:2025:PRPRCWY4CEKUA3JMLCDTRN2LKY

not attested not anchored not stored refs pending

A Provably Efficient Method for Tensor Ring Decomposition and Its Applications

Anru R. Zhang, Han Chen, Sitan Chen

arxiv:2512.01016 v2 · 2025-11-30 · math.NA · cs.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{PRPRCWY4CEKUA3JMLCDTRN2LKY}

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	2026-07-07T03:18:50.930394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5f115b1c1115406d2c588738b74b561870eea55323a18c817948ae79becebb

Aliases

arxiv: 2512.01016 · arxiv_version: 2512.01016v2 · doi: 10.48550/arxiv.2512.01016 · pith_short_12: PRPRCWY4CEKU · pith_short_16: PRPRCWY4CEKUA3JM · pith_short_8: PRPRCWY4

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/PRPRCWY4CEKUA3JMLCDTRN2LKY \
  | 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: 7c5f115b1c1115406d2c588738b74b561870eea55323a18c817948ae79becebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc58a2299de47415a98dc267e6cd32fa86461e904526d1d13e660d2d811dbbb4",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-11-30T18:20:59Z",
    "title_canon_sha256": "bc6bff6e2728e2ae745e2c0bb174614cb2d2352541dda35f600948ad2e7d7335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01016",
    "kind": "arxiv",
    "version": 2
  }
}