Pith Number

pith:2GMH3WPN

pith:2025:2GMH3WPNOHGDZULPYPW5WDPHHW

not attested not anchored not stored refs pending

Models with rank-reducing discrete boundary conditions on $T^2/{\mathbb Z}_4$

Eiji Kodaira, Kentaro Kojima, Toshifumi Yamashita, Yoshiharu Kawamura

arxiv:2502.08250 v3 · 2025-02-12 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GMH3WPNOHGDZULPYPW5WDPHHW}

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	2026-07-05T11:22:36.587173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1987dd9ed71cc3cd16fc3eddb0de73d82faa3cc1ddb8625c155960ee3720b3b

Aliases

arxiv: 2502.08250 · arxiv_version: 2502.08250v3 · doi: 10.48550/arxiv.2502.08250 · pith_short_12: 2GMH3WPNOHGD · pith_short_16: 2GMH3WPNOHGDZULP · pith_short_8: 2GMH3WPN

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/2GMH3WPNOHGDZULPYPW5WDPHHW \
  | 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: d1987dd9ed71cc3cd16fc3eddb0de73d82faa3cc1ddb8625c155960ee3720b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa0396e512f3fb87e966c77ec2fc9272c9baaa0797cbe7466c08a66b73543ad",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-02-12T09:45:17Z",
    "title_canon_sha256": "c41c491ead5129ba2d75ae5cb6428caee6d44d9b16e8dd9fb9798eb057b6d260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08250",
    "kind": "arxiv",
    "version": 3
  }
}