Pith Number

pith:KAFL3GGX

pith:2026:KAFL3GGXAB2TF5457MNLMD4PAO

not attested not anchored not stored refs pending

DiscoLoop: Looping Discrete Embeddings and Continuous Hidden States for Multi-hop Reasoning

Hanlin Zhu, Hengyu Fu, Jason D. Lee, Jiantao Jiao, Song Mei, Stuart Russell, Tianyu Guo, Zixuan Wang

arxiv:2607.00341 v1 · 2026-07-01 · 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{KAFL3GGXAB2TF5457MNLMD4PAO}

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	2026-07-02T00:18:45.266260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500abd98d7007532f79dfb1ab60f8f03aaee60ab3b99773394373b20c1964ad1

Aliases

arxiv: 2607.00341 · arxiv_version: 2607.00341v1 · doi: 10.48550/arxiv.2607.00341 · pith_short_12: KAFL3GGXAB2T · pith_short_16: KAFL3GGXAB2TF545 · pith_short_8: KAFL3GGX

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/KAFL3GGXAB2TF5457MNLMD4PAO \
  | 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: 500abd98d7007532f79dfb1ab60f8f03aaee60ab3b99773394373b20c1964ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171240962371ab4fc826fa322219479f45bf9577ecf523334ad7202c6b6b4dea",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-07-01T02:32:02Z",
    "title_canon_sha256": "d48f5a013f0a0bab40a885f3e681a5b9a6510b3b2227e9b3c7dcf1c9c3ce9cee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00341",
    "kind": "arxiv",
    "version": 1
  }
}