Pith Number

pith:2VPBXKIX

pith:2011:2VPBXKIXCYCMK4Y442ZAFCDA7U

not attested not anchored not stored refs pending

Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses

Anamaria Font, Fernando Marchesano, Luis Aparicio, Luis E. Ibanez

arxiv:1104.2609 v2 · 2011-04-13 · hep-th · 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{2VPBXKIXCYCMK4Y442ZAFCDA7U}

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	2026-05-18T04:14:05.783434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55e1ba9171604c5731ce6b2028860fd356da97434ecaa71f3a22181308ae340

Aliases

arxiv: 1104.2609 · arxiv_version: 1104.2609v2 · doi: 10.48550/arxiv.1104.2609 · pith_short_12: 2VPBXKIXCYCM · pith_short_16: 2VPBXKIXCYCMK4Y4 · pith_short_8: 2VPBXKIX

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/2VPBXKIXCYCMK4Y442ZAFCDA7U \
  | 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: d55e1ba9171604c5731ce6b2028860fd356da97434ecaa71f3a22181308ae340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6a5d697b7e2e39ba0d749e4d93b612a9d8bde6d1b65cd92790e081f6fddc0a0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-13T20:18:13Z",
    "title_canon_sha256": "202f1f62442933b5e94392dd21180096ff44c52205ba201412acbe06e1075377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2609",
    "kind": "arxiv",
    "version": 2
  }
}