Pith Number

pith:MU5T6HA2

pith:2026:MU5T6HA2NBKK376UM57GJRYLWA

not attested not anchored not stored refs pending

Duality for dormant opers of classical types B and C

Yasuhiro Wakabayashi

arxiv:2605.17981 v1 · 2026-05-18 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MU5T6HA2NBKK376UM57GJRYLWA}

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	2026-05-20T00:05:09.395857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653b3f1c1a6854adffd4677e64c70bb010ccac231db10b4e09b9b698b23f8a86

Aliases

arxiv: 2605.17981 · arxiv_version: 2605.17981v1 · doi: 10.48550/arxiv.2605.17981 · pith_short_12: MU5T6HA2NBKK · pith_short_16: MU5T6HA2NBKK376U · pith_short_8: MU5T6HA2

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/MU5T6HA2NBKK376UM57GJRYLWA \
  | 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: 653b3f1c1a6854adffd4677e64c70bb010ccac231db10b4e09b9b698b23f8a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976a723ccf9a51c27fd4aebcf12864d26416a851234aaaa91bb6b4731ab5d6fe",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-18T07:36:35Z",
    "title_canon_sha256": "e29e3f1cf0d15f867c190b1c738bb64894c6d184ed325a17707441f72d2148a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17981",
    "kind": "arxiv",
    "version": 1
  }
}