Pith Number

pith:CVL32KMW

pith:2007:CVL32KMWMNEDXFWATLEDAVVVP3

not attested not anchored not stored refs pending

The Lorentz Extension as Consequence of the Family Symmetry

Hai-Jhun Wanng

arxiv:0712.4188 v2 · 2007-12-27 · 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{CVL32KMWMNEDXFWATLEDAVVVP3}

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	2026-05-18T03:28:06.732258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1557bd299663483b96c09ac83056b57ec8f37780acee7645c4aed00541c48a4c

Aliases

arxiv: 0712.4188 · arxiv_version: 0712.4188v2 · doi: 10.48550/arxiv.0712.4188 · pith_short_12: CVL32KMWMNED · pith_short_16: CVL32KMWMNEDXFWA · pith_short_8: CVL32KMW

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/CVL32KMWMNEDXFWATLEDAVVVP3 \
  | 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: 1557bd299663483b96c09ac83056b57ec8f37780acee7645c4aed00541c48a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004a63653c0098072849db86336cee4d557d603a928f5c4d4f0ed2e7493fa234",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-12-27T05:50:14Z",
    "title_canon_sha256": "5a13bdd198f86e50338a28511c81cb9761b007167cdf23819d55b8b9131d72a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4188",
    "kind": "arxiv",
    "version": 2
  }
}