Pith Number

pith:QAX3KOWI

pith:2026:QAX3KOWIJMAOPBXFYCX6MPH7JE

not attested not anchored not stored refs pending

Invariant Gradient Alignment for Robust Reasoning Distillation

Jiahao Sun, Wei Dai, Zehua Cheng

arxiv:2606.05025 v1 · 2026-06-03 · 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{QAX3KOWIJMAOPBXFYCX6MPH7JE}

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	2026-06-04T01:10:02.718969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

802fb53ac84b00e786e5c0afe63cff490e206f2c8c4c223aeebdb3addaed97d2

Aliases

arxiv: 2606.05025 · arxiv_version: 2606.05025v1 · doi: 10.48550/arxiv.2606.05025 · pith_short_12: QAX3KOWIJMAO · pith_short_16: QAX3KOWIJMAOPBXF · pith_short_8: QAX3KOWI

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/QAX3KOWIJMAOPBXFYCX6MPH7JE \
  | 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: 802fb53ac84b00e786e5c0afe63cff490e206f2c8c4c223aeebdb3addaed97d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "405940c45d9277b9939e3721be598ca0a23f843ed5118128d594b0aa87c7d281",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T15:48:52Z",
    "title_canon_sha256": "72aebab58e4a21a58f1231263a80162a64b80f518bb5ea79f9c332dc1095bf73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05025",
    "kind": "arxiv",
    "version": 1
  }
}