Pith Number

pith:KZTCSVDR

pith:2021:KZTCSVDR5J3Q4BECGNXLOJKGQF

not attested not anchored not stored refs pending

Gauge Symmetry Enhancement by Wilson Lines in Twisted Compactification

H. Itoyama, Sota Nakajima, Yuichi Koga

arxiv:2106.10629 v1 · 2021-06-20 · hep-th · 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{KZTCSVDR5J3Q4BECGNXLOJKGQF}

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	2026-07-05T02:50:51.376374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5666295471ea770e0482336eb72546817b76b99b1407d83af9dc50729169b7da

Aliases

arxiv: 2106.10629 · arxiv_version: 2106.10629v1 · doi: 10.48550/arxiv.2106.10629 · pith_short_12: KZTCSVDR5J3Q · pith_short_16: KZTCSVDR5J3Q4BEC · pith_short_8: KZTCSVDR

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/KZTCSVDR5J3Q4BECGNXLOJKGQF \
  | 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: 5666295471ea770e0482336eb72546817b76b99b1407d83af9dc50729169b7da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8351bf50a3daff6e2da0cc61208e02506871d185e16fa7fa93d97140fbd0031d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-20T05:34:15Z",
    "title_canon_sha256": "88945259a2902d6c1da8dd0c01189842db5d962aa56ef475d2810f5952d11c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10629",
    "kind": "arxiv",
    "version": 1
  }
}