Pith Number

pith:SOV4WRZ4

pith:2026:SOV4WRZ442DPPAFD3MEK665PWB

not attested not anchored not stored refs pending

Weierstrass semigroups at totally ramified places of degree one on linearized function fields

Chang-An Zhao, Huachao Zhang

arxiv:2605.29311 v1 · 2026-05-28 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOV4WRZ442DPPAFD3MEK665PWB}

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	2026-05-29T01:05:32.006348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93abcb473ce686f780a3db08af7bafb0717e63b50ae0200c4714b3e15d7ff7f2

Aliases

arxiv: 2605.29311 · arxiv_version: 2605.29311v1 · doi: 10.48550/arxiv.2605.29311 · pith_short_12: SOV4WRZ442DP · pith_short_16: SOV4WRZ442DPPAFD · pith_short_8: SOV4WRZ4

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/SOV4WRZ442DPPAFD3MEK665PWB \
  | 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: 93abcb473ce686f780a3db08af7bafb0717e63b50ae0200c4714b3e15d7ff7f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7407b587b89f4c46f2800b37cdc8976781bf749064ac4f4e3eef3579e6476a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-28T03:43:13Z",
    "title_canon_sha256": "4e7c3a576fc5dc4a7f00f94ee6f4f2c620f2a24bc5ee1e977cbc53f02ec12aa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29311",
    "kind": "arxiv",
    "version": 1
  }
}