Pith Number

pith:VKOZOIEH

pith:2005:VKOZOIEHM4JVBMXUBI7AUDXPVM

not attested not anchored not stored refs pending

Tripletless unification in the conformal window

Graham D. Kribs, Ryuichiro Kitano

arxiv:hep-ph/0501047 v1 · 2005-01-07 · 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{VKOZOIEHM4JVBMXUBI7AUDXPVM}

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	2026-07-04T15:20:25.308107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9d972087671350b2f40a3e0a0eefab29032aab7ce058398af514e145d47382

Aliases

arxiv: hep-ph/0501047 · arxiv_version: hep-ph/0501047v1 · doi: 10.48550/arxiv.hep-ph/0501047 · pith_short_12: VKOZOIEHM4JV · pith_short_16: VKOZOIEHM4JVBMXU · pith_short_8: VKOZOIEH

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/VKOZOIEHM4JVBMXUBI7AUDXPVM \
  | 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: aa9d972087671350b2f40a3e0a0eefab29032aab7ce058398af514e145d47382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a01f3d63aed335f516ee74cd96d46d8c18c057772b23dab3cd5dbdfe91ab6ae0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-01-07T19:45:27Z",
    "title_canon_sha256": "8d9c9889e17582fd5a47faefe5ae43412a9caaf3347207ae14788f98293038c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0501047",
    "kind": "arxiv",
    "version": 1
  }
}