Pith Number

pith:NOXJIYPF

pith:2026:NOXJIYPF4F2MUDQQHFUHPWFLSB

not attested not anchored not stored refs pending

When Can Depth Replace Precision? A Resource Theory of Quantized Neural Computation

Mojtaba Soltanalian

arxiv:2607.23390 v1 · 2026-07-25 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOXJIYPF4F2MUDQQHFUHPWFLSB}

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	2026-07-28T01:22:50.305393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bae9461e5e174ca0e10396877d8ab9047cc4516914fc8b2498aaa19b90a1b58

Aliases

arxiv: 2607.23390 · arxiv_version: 2607.23390v1 · doi: 10.48550/arxiv.2607.23390 · pith_short_12: NOXJIYPF4F2M · pith_short_16: NOXJIYPF4F2MUDQQ · pith_short_8: NOXJIYPF

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/NOXJIYPF4F2MUDQQHFUHPWFLSB \
  | 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: 6bae9461e5e174ca0e10396877d8ab9047cc4516914fc8b2498aaa19b90a1b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3649c15a1b78e95510a7f34151de13f8e5b1aeecb373c346b4ac1e4afcec679c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-25T23:29:23Z",
    "title_canon_sha256": "d00298fec8a1018a72ed92550ad6aa98077b8d2132171644e16659abbe7e8842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23390",
    "kind": "arxiv",
    "version": 1
  }
}