Pith Number

pith:HHHHTNK6

pith:2026:HHHHTNK6LKSG4OUCQA5A4Y6YBE

not attested not anchored not stored refs pending

Scaling Multi-Hop Training Data via Graph-Constrained Path Selection

Jun Song, Mingming Chen, Pengyu Chen, Wei Xue, Yike Guo, Yonggang Zhang

arxiv:2605.31238 v1 · 2026-05-29 · cs.CL · 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{HHHHTNK6LKSG4OUCQA5A4Y6YBE}

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	2026-06-01T01:04:05.833034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ce79b55e5aa46e3a82803a0e63d80928c2c043296b7addd899203e9e63c95a

Aliases

arxiv: 2605.31238 · arxiv_version: 2605.31238v1 · doi: 10.48550/arxiv.2605.31238 · pith_short_12: HHHHTNK6LKSG · pith_short_16: HHHHTNK6LKSG4OUC · pith_short_8: HHHHTNK6

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/HHHHTNK6LKSG4OUCQA5A4Y6YBE \
  | 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: 39ce79b55e5aa46e3a82803a0e63d80928c2c043296b7addd899203e9e63c95a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c481da1aab2d96adbf9d16533a3289e69eb0fedebffdeb76f39d582167ce1617",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-29T12:39:03Z",
    "title_canon_sha256": "8dafe6d0c4813c7f2f779898114cf7737d9955a3696f90bfdf96e82bd529fb09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31238",
    "kind": "arxiv",
    "version": 1
  }
}