Pith Number

pith:LRSYKX6L

pith:2022:LRSYKX6LD5BXXZCFZ62BZB4T5A

not attested not anchored not stored refs pending

Arithmetic liftings and 2d TQFT for dormant opers of higher level

Yasuhiro Wakabayashi

arxiv:2209.08528 v3 · 2022-09-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRSYKX6LD5BXXZCFZ62BZB4T5A}

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

3 papers in Pith

Polynomiality of the Generalized Verschiebung Degree

Genus formulas for dormant modular curves and asymptotic behavior of their function fields

Duality for dormant opers of classical types B and C

Receipt and verification

First computed	2026-07-05T12:05:05.676358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c65855fcb1f437be445cfb41c8793e80998f376fa3c30a2e2140f730ccbe224

Aliases

arxiv: 2209.08528 · arxiv_version: 2209.08528v3 · doi: 10.48550/arxiv.2209.08528 · pith_short_12: LRSYKX6LD5BX · pith_short_16: LRSYKX6LD5BXXZCF · pith_short_8: LRSYKX6L

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/LRSYKX6LD5BXXZCFZ62BZB4T5A \
  | 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: 5c65855fcb1f437be445cfb41c8793e80998f376fa3c30a2e2140f730ccbe224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33635a516aff14caee0b27488a1ab494efabde45457c93824a651cecdd914859",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-09-18T10:29:06Z",
    "title_canon_sha256": "d1ea2c208aeb56463bee886de1d3b91c5e1367054691f9263a97dd08ada54416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.08528",
    "kind": "arxiv",
    "version": 3
  }
}