Pith Number

pith:KKVNLBUG

pith:2023:KKVNLBUGMK6YPEBMKJVDQJOFFI

not attested not anchored not stored refs pending

Parabolic Crystalline Representations

Jinbang Yang, Kang Zuo, Zhenmou Liu

arxiv:2309.10449 v4 · 2023-09-19 · 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{KKVNLBUGMK6YPEBMKJVDQJOFFI}

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

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases

Receipt and verification

First computed	2026-07-05T11:57:30.028930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52aad5868662bd87902c526a3825c52a3712367a20c9266fe47340d9d32273ff

Aliases

arxiv: 2309.10449 · arxiv_version: 2309.10449v4 · doi: 10.48550/arxiv.2309.10449 · pith_short_12: KKVNLBUGMK6Y · pith_short_16: KKVNLBUGMK6YPEBM · pith_short_8: KKVNLBUG

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/KKVNLBUGMK6YPEBMKJVDQJOFFI \
  | 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: 52aad5868662bd87902c526a3825c52a3712367a20c9266fe47340d9d32273ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f930fb9afc7ac2b6d3b9318334171fc92034a02459d2cac24bc3bb9b9e6544b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-19T09:11:22Z",
    "title_canon_sha256": "5619dfc0f91f9a19394d0368544b258f612d3730321c76a07fdc21b538e57b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.10449",
    "kind": "arxiv",
    "version": 4
  }
}