Pith Number

pith:ESVGMTIU

pith:2023:ESVGMTIUYAPP5N5JHVYJM3YPIF

not attested not anchored not stored refs pending

Training Dynamics of Deep Network Linear Regions

Ahmed Imtiaz Humayun, Randall Balestriero, Richard Baraniuk

arxiv:2310.12977 v1 · 2023-10-19 · cs.LG · cs.AI · 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{ESVGMTIUYAPP5N5JHVYJM3YPIF}

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.

Cited by

1 paper in Pith

Grokking in the Wild: Data Augmentation for Real-World Multi-Hop Reasoning with Transformers

Receipt and verification

First computed	2026-07-05T07:02:55.087541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24aa664d14c01efeb7a93d70966f0f4157c09ccb10ab529514612cbdf399306e

Aliases

arxiv: 2310.12977 · arxiv_version: 2310.12977v1 · doi: 10.48550/arxiv.2310.12977 · pith_short_12: ESVGMTIUYAPP · pith_short_16: ESVGMTIUYAPP5N5J · pith_short_8: ESVGMTIU

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/ESVGMTIUYAPP5N5JHVYJM3YPIF \
  | 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: 24aa664d14c01efeb7a93d70966f0f4157c09ccb10ab529514612cbdf399306e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c68d8c6823ccdb6743c997a5a74002c812e80826a6944adaa98bf6edce155a8",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-19T17:59:44Z",
    "title_canon_sha256": "b0fec8bb8519384f2ea3688490d2c4e3dfd5745a3c54c6937eb0fbded4b6826b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.12977",
    "kind": "arxiv",
    "version": 1
  }
}