Pith Number

pith:3CZVJ2XB

pith:1999:3CZVJ2XBTS4BMCWSJPG7GKM7J2

not attested not anchored not stored refs pending

Gauge Symmetry Reduction from the Extra Space $S^1/Z_2$

Yoshiharu Kawamura

arxiv:hep-ph/9902423 v2 · 1999-02-22 · 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{3CZVJ2XBTS4BMCWSJPG7GKM7J2}

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.

Cited by

2 papers in Pith

Testing F-theory GUTs with the Axiverse

Family Unification in $SO(16)$ Grand Unification

Receipt and verification

First computed	2026-07-04T16:14:05.456744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b354eae19cb8160ad24bcdf3299f4eb0056a35de927a62fa959d9ca005c120

Aliases

arxiv: hep-ph/9902423 · arxiv_version: hep-ph/9902423v2 · doi: 10.48550/arxiv.hep-ph/9902423 · pith_short_12: 3CZVJ2XBTS4B · pith_short_16: 3CZVJ2XBTS4BMCWS · pith_short_8: 3CZVJ2XB

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/3CZVJ2XBTS4BMCWSJPG7GKM7J2 \
  | 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: d8b354eae19cb8160ad24bcdf3299f4eb0056a35de927a62fa959d9ca005c120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37b52529d5d96aeabbac8d7a0711487541424cc4e875ad237a8afc4959beece",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-02-22T08:34:13Z",
    "title_canon_sha256": "a65b780959926f66d801ada77af18f8931fb565d7cc97379c3c5556ec95ef836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9902423",
    "kind": "arxiv",
    "version": 2
  }
}