Pith Number

pith:INJCB27Q

pith:2009:INJCB27QLEM2Y27OGXCMFPAVFV

not attested not anchored not stored refs pending

The Footprint of F-theory at the LHC

Cumrun Vafa, Gordon L. Kane, Jing Shao, Jonathan J. Heckman

arxiv:0903.3609 v1 · 2009-03-23 · hep-ph · hep-ex · 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{INJCB27QLEM2Y27OGXCMFPAVFV}

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	2026-05-18T02:14:26.877421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

435220ebf05919ac6bee35c4c2bc152d7f7f9f1d085ea83f58e74b4001849e50

Aliases

arxiv: 0903.3609 · arxiv_version: 0903.3609v1 · doi: 10.48550/arxiv.0903.3609 · pith_short_12: INJCB27QLEM2 · pith_short_16: INJCB27QLEM2Y27O · pith_short_8: INJCB27Q

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/INJCB27QLEM2Y27OGXCMFPAVFV \
  | 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: 435220ebf05919ac6bee35c4c2bc152d7f7f9f1d085ea83f58e74b4001849e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40485c69089d5e1cc7ff287a4a0c526a81c6ea08c8a23ab7752c6bf9f6193966",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-03-23T14:24:13Z",
    "title_canon_sha256": "488f6c9c73a218e98b017754fe1e47b2589bfee16d5c8b0d52f3f1607fb8a1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3609",
    "kind": "arxiv",
    "version": 1
  }
}