Pith Number

pith:U4U2DPVS

pith:2025:U4U2DPVSUHGXCPRLTLLNA5OF7B

not attested not anchored not stored refs pending

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models

Bahman Torkamandi

arxiv:2501.04286 v2 · 2025-01-08 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4U2DPVSUHGXCPRLTLLNA5OF7B}

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	2026-07-05T10:14:49.625748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a729a1beb2a1cd713e2b9ad6d075c5f8594aa5b010257e1a2daf360f5c0610c2

Aliases

arxiv: 2501.04286 · arxiv_version: 2501.04286v2 · doi: 10.48550/arxiv.2501.04286 · pith_short_12: U4U2DPVSUHGX · pith_short_16: U4U2DPVSUHGXCPRL · pith_short_8: U4U2DPVS

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/U4U2DPVSUHGXCPRLTLLNA5OF7B \
  | 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: a729a1beb2a1cd713e2b9ad6d075c5f8594aa5b010257e1a2daf360f5c0610c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aecf98752edeba2a0d7c32db30ddcfeaede81e9f54107253f892b51a189c855a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-08T05:24:11Z",
    "title_canon_sha256": "00974aa621e6b94ba3c734f50b421418d1e9f951818e8466ea800a3b88fd4fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04286",
    "kind": "arxiv",
    "version": 2
  }
}