Pith Number

pith:5AEDE3UT

pith:2026:5AEDE3UTAXDV33MGT6LIIZVHHA

not attested not anchored not stored refs pending

Fusion Training for Mathematical Generalization in Large Language Models

Congfeng Cao, Jelke Bloem, Pengyu Zhang

arxiv:2608.09893 v1 · 2026-08-10 · cs.CL · 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{5AEDE3UTAXDV33MGT6LIIZVHHA}

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	2026-08-11T02:25:23.610588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e808326e9305c75ded869f968466a7380dab479bcd25c0644c1729e1538143a3

Aliases

arxiv: 2608.09893 · arxiv_version: 2608.09893v1 · doi: 10.48550/arxiv.2608.09893 · pith_short_12: 5AEDE3UTAXDV · pith_short_16: 5AEDE3UTAXDV33MG · pith_short_8: 5AEDE3UT

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/5AEDE3UTAXDV33MGT6LIIZVHHA \
  | 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: e808326e9305c75ded869f968466a7380dab479bcd25c0644c1729e1538143a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44321b0475cc07aa90ccc194d77ee330b1373408d6231b5194c8ce5f5a57a43a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-08-10T17:41:19Z",
    "title_canon_sha256": "e5ed16a015dd2e8fe72634145af32b227dd330c64189cce4aef05ff5c30ce304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09893",
    "kind": "arxiv",
    "version": 1
  }
}