Pith Number

pith:WZY6KUXM

pith:2010:WZY6KUXM7B2THBEZJRTVS6FHM5

not attested not anchored not stored refs pending

Modular realizations of hyperbolic Weyl groups

Axel Kleinschmidt, Hermann Nicolai, Jakob Palmkvist

arxiv:1010.2212 v2 · 2010-10-11 · math.NT · hep-th · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZY6KUXM7B2THBEZJRTVS6FHM5}

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	2026-05-18T04:22:11.345115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b671e552ecf8753384994c675978a7676cb0780e003a9464b4d68169f0f8661e

Aliases

arxiv: 1010.2212 · arxiv_version: 1010.2212v2 · doi: 10.48550/arxiv.1010.2212 · pith_short_12: WZY6KUXM7B2T · pith_short_16: WZY6KUXM7B2THBEZ · pith_short_8: WZY6KUXM

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/WZY6KUXM7B2THBEZJRTVS6FHM5 \
  | 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: b671e552ecf8753384994c675978a7676cb0780e003a9464b4d68169f0f8661e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43177899bb121b44db001690f3d59a46681ca348163a4537f03b5ca765ad3d40",
    "cross_cats_sorted": [
      "hep-th",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-11T20:00:19Z",
    "title_canon_sha256": "e0d0bd38586f376c826154f3b7089b9bb7331e1769cd477b3f1a338c2d7f5415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2212",
    "kind": "arxiv",
    "version": 2
  }
}