Pith Number

pith:XBHPBOBQ

pith:2018:XBHPBOBQ6OPORC37NDYDFSVUGU

not attested not anchored not stored refs pending

Tropical Geometry of Deep Neural Networks

Gregory Naitzat, Lek-Heng Lim, Liwen Zhang

arxiv:1805.07091 v1 · 2018-05-18 · cs.LG · math.AG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBHPBOBQ6OPORC37NDYDFSVUGU}

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	2026-05-18T00:15:41.096250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84ef0b830f39ee88b7f68f032cab43532f5b0028f82c285dbe14f66954e0269

Aliases

arxiv: 1805.07091 · arxiv_version: 1805.07091v1 · doi: 10.48550/arxiv.1805.07091 · pith_short_12: XBHPBOBQ6OPO · pith_short_16: XBHPBOBQ6OPORC37 · pith_short_8: XBHPBOBQ

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/XBHPBOBQ6OPORC37NDYDFSVUGU \
  | 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: b84ef0b830f39ee88b7f68f032cab43532f5b0028f82c285dbe14f66954e0269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9cf8bfaec95e8aa708eff834bc456cca88f0a8af3b302e537e258aa27ee256",
    "cross_cats_sorted": [
      "math.AG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-05-18T08:30:50Z",
    "title_canon_sha256": "6641995336b2466777cb5cca275b843203d59ca7cab3798368b3ba756ba23f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07091",
    "kind": "arxiv",
    "version": 1
  }
}