Pith Number

pith:UQTGCJSA

pith:2026:UQTGCJSAUJSPXJCYG7PNEH6SL4

not attested not anchored not stored refs pending

Backpropagation-Free Trunk Training via the Split Forward Gradients

Tian Qin, Wei-Min Huang

arxiv:2607.16612 v1 · 2026-07-18 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQTGCJSAUJSPXJCYG7PNEH6SL4}

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	2026-07-21T00:20:28.298094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a426612640a264fba45837ded21fd25f1d525e06a1249ecb5d8c2e4916d01969

Aliases

arxiv: 2607.16612 · arxiv_version: 2607.16612v1 · doi: 10.48550/arxiv.2607.16612 · pith_short_12: UQTGCJSAUJSP · pith_short_16: UQTGCJSAUJSPXJCY · pith_short_8: UQTGCJSA

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/UQTGCJSAUJSPXJCYG7PNEH6SL4 \
  | 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: a426612640a264fba45837ded21fd25f1d525e06a1249ecb5d8c2e4916d01969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3943626dec509642e695889f1c45100d23afc04d33cf06190f3db5280bd530e",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-18T03:23:21Z",
    "title_canon_sha256": "915d679927a4a8831c0dc15b292e4260f550d4154883c62943c183983e450586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16612",
    "kind": "arxiv",
    "version": 1
  }
}