Pith Number

pith:NOSBTFG3

pith:2026:NOSBTFG3TVS7DUGG2BZQV7PAQY

not attested not anchored not stored refs pending

Higher-order hopping-parameter expansion by human-AI collaboration

Masakiyo Kitazawa, Tatsuya Wada

arxiv:2606.31492 v1 · 2026-06-30 · hep-lat · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOSBTFG3TVS7DUGG2BZQV7PAQY}

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	2026-07-01T01:18:04.917092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ba41994db9d65f1d0c6d0730afde08623ba005e99207273225423960f2d3d60

Aliases

arxiv: 2606.31492 · arxiv_version: 2606.31492v1 · doi: 10.48550/arxiv.2606.31492 · pith_short_12: NOSBTFG3TVS7 · pith_short_16: NOSBTFG3TVS7DUGG · pith_short_8: NOSBTFG3

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/NOSBTFG3TVS7DUGG2BZQV7PAQY \
  | 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: 6ba41994db9d65f1d0c6d0730afde08623ba005e99207273225423960f2d3d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457dcabdaa7f679704084f02fa2b5b89a80aae591619889d88d90dabdc334d5b",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-06-30T11:12:43Z",
    "title_canon_sha256": "ce0eeb4b85fae3c6ba3ca29f1261c47e730e7b58746e3e8cb9b59d48ad55e4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31492",
    "kind": "arxiv",
    "version": 1
  }
}