Pith Number

pith:NYZ4PDID

pith:2022:NYZ4PDIDDOQEKUEM2NKL46Q2TN

not attested not anchored not stored refs pending

Cluster transformations, the tetrahedron equation and three-dimensional gauge theories

Junya Yagi, Xiaoyue Sun

arxiv:2211.10702 v2 · 2022-11-19 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NYZ4PDIDDOQEKUEM2NKL46Q2TN}

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	2026-07-05T08:29:13.355407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e33c78d031ba045508cd354be7a1a9b43405fc67dd579386fafb6225fb4c040

Aliases

arxiv: 2211.10702 · arxiv_version: 2211.10702v2 · doi: 10.48550/arxiv.2211.10702 · pith_short_12: NYZ4PDIDDOQE · pith_short_16: NYZ4PDIDDOQEKUEM · pith_short_8: NYZ4PDID

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/NYZ4PDIDDOQEKUEM2NKL46Q2TN \
  | 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: 6e33c78d031ba045508cd354be7a1a9b43405fc67dd579386fafb6225fb4c040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984417f0989c772eb5b031155030cf1b5ccf113db1fad672bb62fbd98fdfa932",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-11-19T13:55:51Z",
    "title_canon_sha256": "5c8082cb9d9ab9625672da0d21745d51af0a2b99e7ca4966bbec3fb52fa8c088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.10702",
    "kind": "arxiv",
    "version": 2
  }
}