Pith Number

pith:BLMSES4H

pith:2009:BLMSES4HKA6N7QQBV4PRSDNRQY

not attested not anchored not stored refs pending

CP Violation and F-theory GUTs

Cumrun Vafa, Jonathan J. Heckman

arxiv:0904.3101 v2 · 2009-04-21 · 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{BLMSES4HKA6N7QQBV4PRSDNRQY}

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	2026-05-18T04:19:23.523003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad9224b87503cdfc201af1f190db186347957af5956c9898628ca6fc532822a

Aliases

arxiv: 0904.3101 · arxiv_version: 0904.3101v2 · doi: 10.48550/arxiv.0904.3101 · pith_short_12: BLMSES4HKA6N · pith_short_16: BLMSES4HKA6N7QQB · pith_short_8: BLMSES4H

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/BLMSES4HKA6N7QQBV4PRSDNRQY \
  | 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: 0ad9224b87503cdfc201af1f190db186347957af5956c9898628ca6fc532822a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aa61c00d14072f3d7299c82a7e7b00949bc91c060c85d4081594f6245f39ca4",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-04-21T19:10:44Z",
    "title_canon_sha256": "b920303fc49808fcc9521f4dd375bc00ae49bd751cb36a7e540d820a9754a0b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3101",
    "kind": "arxiv",
    "version": 2
  }
}