Pith Number

pith:VQN22KUQ

pith:2020:VQN22KUQN4JKMVOIFH7ENBFKC7

not attested not anchored not stored refs pending

FracTrain: Fractionally Squeezing Bit Savings Both Temporally and Spatially for Efficient DNN Training

Chaojian Li, Haoran You, Kailash Gopalakrishnan, Yang Zhao, Yingyan Celine Lin, Yonggan Fu, Yue Wang, Zhangyang Wang

arxiv:2012.13113 v2 · 2020-12-24 · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQN22KUQN4JKMVOIFH7ENBFKC7}

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	2026-07-05T09:56:44.899819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1bad2a906f12a655c829fe4684aa17e64421535e9344581973bfa27c87fb8b

Aliases

arxiv: 2012.13113 · arxiv_version: 2012.13113v2 · doi: 10.48550/arxiv.2012.13113 · pith_short_12: VQN22KUQN4JK · pith_short_16: VQN22KUQN4JKMVOI · pith_short_8: VQN22KUQ

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/VQN22KUQN4JKMVOIFH7ENBFKC7 \
  | 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: ac1bad2a906f12a655c829fe4684aa17e64421535e9344581973bfa27c87fb8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532e6a8edefc6878d2c9770fa953e480b8d4c889a5e1fd4663830511b08d0043",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2020-12-24T05:24:10Z",
    "title_canon_sha256": "2b36d28b137a635207d7f8522b46088dc2d7ba8707405a7e3e8b244d40e1e132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13113",
    "kind": "arxiv",
    "version": 2
  }
}