Pith Number

pith:HAW4XMT6

pith:2007:HAW4XMT636NGJVUAX6J2PHMF74

not attested not anchored not stored refs pending

Cascading to the MSSM

Cumrun Vafa, Herman Verlinde, Jonathan J. Heckman, Martijn Wijnholt

arxiv:0711.0387 v1 · 2007-11-05 · 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{HAW4XMT636NGJVUAX6J2PHMF74}

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	2026-07-04T15:30:42.226505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382dcbb27edf9a64d680bf93a79d85ff21476bb7daa43f57f686dd7532e2b259

Aliases

arxiv: 0711.0387 · arxiv_version: 0711.0387v1 · doi: 10.48550/arxiv.0711.0387 · pith_short_12: HAW4XMT636NG · pith_short_16: HAW4XMT636NGJVUA · pith_short_8: HAW4XMT6

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/HAW4XMT636NGJVUAX6J2PHMF74 \
  | 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: 382dcbb27edf9a64d680bf93a79d85ff21476bb7daa43f57f686dd7532e2b259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b928ae187f61543268f03042be109b6a97e8e84446beacf2bd802c2ab502b7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-11-05T19:10:53Z",
    "title_canon_sha256": "fefcda5a0f7bc1fd5f7987d19a866802fe67bfe019a2ebe9909d09240f1f1988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0387",
    "kind": "arxiv",
    "version": 1
  }
}