Pith Number

pith:K3CXPQ7L

pith:2015:K3CXPQ7LD3WGEISSVYXHUDDBDI

not attested not anchored not stored refs pending

Exceptional Algebra and Sporadic Groups at c=12

Daniel Whalen, Miranda C.N. Cheng, Sarah M. Harrison, Shamit Kachru

arxiv:1503.07219 v1 · 2015-03-24 · 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{K3CXPQ7LD3WGEISSVYXHUDDBDI}

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	2026-05-18T02:20:28.037372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c577c3eb1eec622252ae2e7a0c611a032085c2e85fba7d4fb4bba21d4e80c0

Aliases

arxiv: 1503.07219 · arxiv_version: 1503.07219v1 · doi: 10.48550/arxiv.1503.07219 · pith_short_12: K3CXPQ7LD3WG · pith_short_16: K3CXPQ7LD3WGEISS · pith_short_8: K3CXPQ7L

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/K3CXPQ7LD3WGEISSVYXHUDDBDI \
  | 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: 56c577c3eb1eec622252ae2e7a0c611a032085c2e85fba7d4fb4bba21d4e80c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f980a8505464083cc7dd93aca3e2da58a2470982a45034e1edf7cdf399a8c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-03-24T22:19:16Z",
    "title_canon_sha256": "7e3d1a04ff6072a05bc1f44e1ee1a46253272e98b6a545571e3c87ffa2e0edf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07219",
    "kind": "arxiv",
    "version": 1
  }
}