Pith. sign in
Pith Number

pith:47FVBLET

pith:2001:47FVBLETEMQ5G7WTILTEDJ3RVV
not attested not anchored not stored refs pending

Minimal representations, spherical vectors, and exceptional theta series I

A. Waldron, B. Pioline, D. Kazhdan

arxiv:hep-th/0107222 v2 · 2001-07-25 · hep-th · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{47FVBLETEMQ5G7WTILTEDJ3RVV}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-04T17:29:44.031168Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e7cb50ac932321d37ed342e641a771ad40f9d0927774f9e3127dcf4b1eff014e

Aliases

arxiv: hep-th/0107222 · arxiv_version: hep-th/0107222v2 · doi: 10.48550/arxiv.hep-th/0107222 · pith_short_12: 47FVBLETEMQ5 · pith_short_16: 47FVBLETEMQ5G7WT · pith_short_8: 47FVBLET
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/47FVBLETEMQ5G7WTILTEDJ3RVV \
  | 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: e7cb50ac932321d37ed342e641a771ad40f9d0927774f9e3127dcf4b1eff014e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b74ad2d6bdccedfc4d2aca8bf365dfbafbbcb0d9b1ed078c84ab53969b54d9d8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-07-25T17:03:07Z",
    "title_canon_sha256": "64bc8d947b479009a8b9ac5edb3686b7437d5428d29da9cfd7b78dcc64a1d9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0107222",
    "kind": "arxiv",
    "version": 2
  }
}