Pith Number

pith:QMQF4DYJ

pith:2026:QMQF4DYJQD3IUMI34G4PR4R4PV

not attested not anchored not stored refs pending

THOR: A Theta-Gamma Hierarchical Oscillatory Reasoning Framework for Multi-hop QA

Mingzhai Sun, Ronald X. Xu, Ziyang Ling

arxiv:2607.20459 v1 · 2026-05-15 · 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{QMQF4DYJQD3IUMI34G4PR4R4PV}

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	2026-07-24T00:23:16.519608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83205e0f0980f68a311be1b8f8f23c7d619a5ad2fc1fb825140949875071d90e

Aliases

arxiv: 2607.20459 · arxiv_version: 2607.20459v1 · doi: 10.48550/arxiv.2607.20459 · pith_short_12: QMQF4DYJQD3I · pith_short_16: QMQF4DYJQD3IUMI3 · pith_short_8: QMQF4DYJ

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/QMQF4DYJQD3IUMI34G4PR4R4PV \
  | 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: 83205e0f0980f68a311be1b8f8f23c7d619a5ad2fc1fb825140949875071d90e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c9066ef332055a2b2e0e9f7f84b923da8d63fd6f1d0e3ee6f765ce5f58449b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-15T03:01:22Z",
    "title_canon_sha256": "175666217e536d41d1597969cab2666a475b30da1c01dcd5711b1404e1d5184e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20459",
    "kind": "arxiv",
    "version": 1
  }
}