Pith Number

pith:2M7L5AKV

pith:2021:2M7L5AKVW3WCNHX32YTP2OXI4Q

not attested not anchored not stored refs pending

Layer-Parallel Training of Residual Networks with Auxiliary-Variable Networks

Bin Dong, Hexin Dong, Jiacheng Sun, Qi Sun, Zewei Chen, Zhenguo Li

arxiv:2112.05387 v1 · 2021-12-10 · cs.LG · cs.AI · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2M7L5AKVW3WCNHX32YTP2OXI4Q}

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	2026-07-05T03:39:40.786835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33ebe8155b6ec269efbd626fd3ae8e41fa50f38844de11c3413adaf7fae362b

Aliases

arxiv: 2112.05387 · arxiv_version: 2112.05387v1 · doi: 10.48550/arxiv.2112.05387 · pith_short_12: 2M7L5AKVW3WC · pith_short_16: 2M7L5AKVW3WCNHX3 · pith_short_8: 2M7L5AKV

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/2M7L5AKVW3WCNHX32YTP2OXI4Q \
  | 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: d33ebe8155b6ec269efbd626fd3ae8e41fa50f38844de11c3413adaf7fae362b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f91e3a6522fb9c14356e38b7f411708ee409fccbbe1c98cc2177fa4c55a9079",
    "cross_cats_sorted": [
      "cs.AI",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-10T08:45:35Z",
    "title_canon_sha256": "49057fe761afe20b743b2ed420776d6b65cd865bcabdf2f5c8ce0fdc35f034bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05387",
    "kind": "arxiv",
    "version": 1
  }
}