Pith Number

pith:MMJVVPUA

pith:2025:MMJVVPUAVTZW7RDLOBCRZITBQU

not attested not anchored not stored refs pending

Stochastic Gradient Descent for Incomplete Tensor Linear Systems

Alexander Xue, Anna Ma, Deanna Needell

arxiv:2510.07630 v2 · 2025-10-08 · 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{MMJVVPUAVTZW7RDLOBCRZITBQU}

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	2026-05-28T01:04:07.439588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63135abe80acf36fc46b70451ca2618517da52b3f5e1f6b3d1868530b0027f95

Aliases

arxiv: 2510.07630 · arxiv_version: 2510.07630v2 · doi: 10.48550/arxiv.2510.07630 · pith_short_12: MMJVVPUAVTZW · pith_short_16: MMJVVPUAVTZW7RDL · pith_short_8: MMJVVPUA

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/MMJVVPUAVTZW7RDLOBCRZITBQU \
  | 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: 63135abe80acf36fc46b70451ca2618517da52b3f5e1f6b3d1868530b0027f95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9df93ddefcd9805d244d8b658a579f95e1045b8f4ae605ff12c084a4b4640cb5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-10-08T23:59:35Z",
    "title_canon_sha256": "c3e8499927470e9747b91e36cc6fd7724d53dfaa05b5dc4708fd827d28156ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.07630",
    "kind": "arxiv",
    "version": 2
  }
}