Pith Number

pith:FDS3B6VK

pith:2003:FDS3B6VKF4B73S4C7FSCEGRYBL

not attested not anchored not stored refs pending

Heterotic Yukawa couplings and continuous Wilson lines

Oleg Lebedev, Tatsuo Kobayashi

arxiv:hep-th/0303009 v2 · 2003-03-03 · 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{FDS3B6VKF4B73S4C7FSCEGRYBL}

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	2026-07-04T16:41:11.110494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e5b0faaa2f03fdcb82f964221a380ae3a423b6b002186517599b8bbe53d7b7

Aliases

arxiv: hep-th/0303009 · arxiv_version: hep-th/0303009v2 · doi: 10.48550/arxiv.hep-th/0303009 · pith_short_12: FDS3B6VKF4B7 · pith_short_16: FDS3B6VKF4B73S4C · pith_short_8: FDS3B6VK

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/FDS3B6VKF4B73S4C7FSCEGRYBL \
  | 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: 28e5b0faaa2f03fdcb82f964221a380ae3a423b6b002186517599b8bbe53d7b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faedfd312134e97a1a700a13aceb4b2f028642a0448c27ca7ffc0b2718b8ad2c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-03-03T03:04:54Z",
    "title_canon_sha256": "b9d4984f20808e6923d5e8f0f618a671ecf8a241bde21b592932e6b6a31ca7b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0303009",
    "kind": "arxiv",
    "version": 2
  }
}