Pith Number

pith:KTRS3MRI

pith:2006:KTRS3MRINK5LJSN3K5CDP24QDS

not attested not anchored not stored refs pending

Gauge Coupling Unification in Six Dimensions

Hyun Min Lee

arxiv:hep-ph/0611196 v4 · 2006-11-14 · 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{KTRS3MRINK5LJSN3K5CDP24QDS}

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	2026-05-18T02:36:13.392451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54e32db2286abab4c9bb574437eb901ca8601481c61632fb9c0ccd602caaf97f

Aliases

arxiv: hep-ph/0611196 · arxiv_version: hep-ph/0611196v4 · doi: 10.48550/arxiv.hep-ph/0611196 · pith_short_12: KTRS3MRINK5L · pith_short_16: KTRS3MRINK5LJSN3 · pith_short_8: KTRS3MRI

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/KTRS3MRINK5LJSN3K5CDP24QDS \
  | 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: 54e32db2286abab4c9bb574437eb901ca8601481c61632fb9c0ccd602caaf97f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222029bafaf35dc3922a94d972ccce9651a513763cbc8f1e200814eb837be0b2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-11-14T19:35:45Z",
    "title_canon_sha256": "6a55a69013b57ba09cd7605cbb23793a3751a1ab836ea5f75b8ccd88a00b60f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0611196",
    "kind": "arxiv",
    "version": 4
  }
}