Pith Number

pith:HNRXLYBZ

pith:2002:HNRXLYBZE274LJFK3M7GYQFD5T

not attested not anchored not stored refs pending

Power-Like Threshold Corrections to Gauge Unification in Extra Dimensions

A. Hebecker, A. Westphal

arxiv:hep-ph/0212175 v3 · 2002-12-12 · 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{HNRXLYBZE274LJFK3M7GYQFD5T}

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	2026-05-18T01:39:06.925705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b6375e03926bfc5a4aadb3e6c40a3ece9847a8c5db818c52db6686e05350980

Aliases

arxiv: hep-ph/0212175 · arxiv_version: hep-ph/0212175v3 · doi: 10.48550/arxiv.hep-ph/0212175 · pith_short_12: HNRXLYBZE274 · pith_short_16: HNRXLYBZE274LJFK · pith_short_8: HNRXLYBZ

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/HNRXLYBZE274LJFK3M7GYQFD5T \
  | 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: 3b6375e03926bfc5a4aadb3e6c40a3ece9847a8c5db818c52db6686e05350980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7002e86c2cb0819457164e7d5c5ba58625e666a2aa38544bd51e0d93036c10a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-12-12T16:52:45Z",
    "title_canon_sha256": "c1c7103cea9bc4db0f8e9c22f761111eb662173e535ed98a51586581e209be63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0212175",
    "kind": "arxiv",
    "version": 3
  }
}