Pith Number

pith:HUCH2L6T

pith:2011:HUCH2L6TUA3WZE6IVFQLNVXI7D

not attested not anchored not stored refs pending

Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach

Christoph Luhn

arxiv:1101.2417 v1 · 2011-01-12 · 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{HUCH2L6TUA3WZE6IVFQLNVXI7D}

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

1 paper in Pith

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Receipt and verification

First computed	2026-05-18T02:22:58.147616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d047d2fd3a0376c93c8a960b6d6e8f8c599647554fa5f7de916ac14f9ef00a5

Aliases

arxiv: 1101.2417 · arxiv_version: 1101.2417v1 · doi: 10.48550/arxiv.1101.2417 · pith_short_12: HUCH2L6TUA3W · pith_short_16: HUCH2L6TUA3WZE6I · pith_short_8: HUCH2L6T

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/HUCH2L6TUA3WZE6IVFQLNVXI7D \
  | 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: 3d047d2fd3a0376c93c8a960b6d6e8f8c599647554fa5f7de916ac14f9ef00a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6712a9706c98b38adfa784e956541af4fdb4007e0aca504f279256844e53315",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-01-12T18:18:41Z",
    "title_canon_sha256": "c7cfd8b16df049e612fe0da67c9a8be54f685826c598bfa24c462ff297346e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2417",
    "kind": "arxiv",
    "version": 1
  }
}