Pith Number

pith:HUQEYUCZ

pith:2026:HUQEYUCZSAHTFQBSUNZADP5BB7

not attested not anchored not stored refs pending

DEL: Digit Entropy Loss for Numerical Learning of Large Language Models

Chenhang He, Lei Zhang, Ming-Ming Cheng, Shihao Wang, Yuxuan Li, Zhaohui Zheng

arxiv:2605.20369 v1 · 2026-05-19 · cs.CL · cs.AI · 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{HUQEYUCZSAHTFQBSUNZADP5BB7}

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	2026-05-21T01:04:35.304867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d204c5059900f32c032a37201bfa10ff6bdc1f795249380f8094ee9fb4a4591

Aliases

arxiv: 2605.20369 · arxiv_version: 2605.20369v1 · doi: 10.48550/arxiv.2605.20369 · pith_short_12: HUQEYUCZSAHT · pith_short_16: HUQEYUCZSAHTFQBS · pith_short_8: HUQEYUCZ

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/HUQEYUCZSAHTFQBSUNZADP5BB7 \
  | 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: 3d204c5059900f32c032a37201bfa10ff6bdc1f795249380f8094ee9fb4a4591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1d940b8a967f6cd951b1e16da33190838eb3df538ff84afbf95631e25ad9da",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-19T18:18:59Z",
    "title_canon_sha256": "352b33351711903d4bfb9e1d226e0df230f2f02aa79c2041a8db323298302af4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20369",
    "kind": "arxiv",
    "version": 1
  }
}