Pith Number

pith:2TNOXWE6

pith:2018:2TNOXWE6LJQCWGCNCF2XZ3DSTH

not attested not anchored not stored refs pending

The loss surface of deep linear networks viewed through the algebraic geometry lens

Dhagash Mehta, Jonathan D. Hauenstein, Tianran Chen, Tingting Tang

arxiv:1810.07716 v1 · 2018-10-17 · stat.ML · cs.LG · 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{2TNOXWE6LJQCWGCNCF2XZ3DSTH}

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	2026-05-18T00:02:54.432202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4daebd89e5a602b184d11757cec7299e72cbd8cc8b9ce3a30e9918c2c9d7cef

Aliases

arxiv: 1810.07716 · arxiv_version: 1810.07716v1 · doi: 10.48550/arxiv.1810.07716 · pith_short_12: 2TNOXWE6LJQC · pith_short_16: 2TNOXWE6LJQCWGCN · pith_short_8: 2TNOXWE6

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/2TNOXWE6LJQCWGCNCF2XZ3DSTH \
  | 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: d4daebd89e5a602b184d11757cec7299e72cbd8cc8b9ce3a30e9918c2c9d7cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f06d42bef65ec4b8190e07172d04d9d9bccb23621887e21e04de4ac6ad797b",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-10-17T18:07:44Z",
    "title_canon_sha256": "14ba47a28789b5b462ad2a62bf37bde59327cb2943c2f40f49574abd0ac3d484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07716",
    "kind": "arxiv",
    "version": 1
  }
}