Pith Number

pith:KVX6Y4ES

pith:2013:KVX6Y4ESFEIEZMHSO24BJZMQVR

not attested not anchored not stored refs pending

U-Duality and the Leech Lattice

Michael Rios

arxiv:1307.1554 v2 · 2013-07-05 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVX6Y4ESFEIEZMHSO24BJZMQVR}

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	2026-05-18T00:19:19.957967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556fec709229104cb0f276b814e590ac7d888c36e640e9a7b346e0e0ce563d88

Aliases

arxiv: 1307.1554 · arxiv_version: 1307.1554v2 · doi: 10.48550/arxiv.1307.1554 · pith_short_12: KVX6Y4ESFEIE · pith_short_16: KVX6Y4ESFEIEZMHS · pith_short_8: KVX6Y4ES

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/KVX6Y4ESFEIEZMHSO24BJZMQVR \
  | 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: 556fec709229104cb0f276b814e590ac7d888c36e640e9a7b346e0e0ce563d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387e5ed9e0d136fb8dbdc2b5d26e7c7369d6dc9855cc193fc7a0668863b57d44",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-05T09:08:23Z",
    "title_canon_sha256": "c73a3c4a04cac10237743ef4a39b374f9567de9feb9f0090c89b4b8226f6f013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1554",
    "kind": "arxiv",
    "version": 2
  }
}