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Pith Number

pith:OR54ID4B

pith:2012:OR54ID4BLIIXB5ZROSIBTP4YDN
not attested not anchored not stored refs pending

Origin of family symmetries

Hans Peter Nilles, Michael Ratz, Patrick K.S. Vaudrevange

arxiv:1204.2206 v1 · 2012-04-10 · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OR54ID4BLIIXB5ZROSIBTP4YDN}

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 2026-05-18T01:57:53.965556Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

747bc40f815a1170f731749019bf981b69de9a8ded13f3a325d1458f5f7b3ec4

Aliases

arxiv: 1204.2206 · arxiv_version: 1204.2206v1 · doi: 10.48550/arxiv.1204.2206 · pith_short_12: OR54ID4BLIIX · pith_short_16: OR54ID4BLIIXB5ZR · pith_short_8: OR54ID4B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OR54ID4BLIIXB5ZROSIBTP4YDN \
  | 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: 747bc40f815a1170f731749019bf981b69de9a8ded13f3a325d1458f5f7b3ec4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02e845377797435b8b16caf7a66b2501859c707ee0d0a6b042aab74e89357324",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-04-10T16:08:11Z",
    "title_canon_sha256": "620bea5f6ea0d169ad580e812dd5ecfc466489764855c066c275e8ce89ef8de1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2206",
    "kind": "arxiv",
    "version": 1
  }
}