Pith Number

pith:6FNDSWCD

pith:2024:6FNDSWCDIULMLC7EO7PKIUXJVT

not attested not anchored not stored refs pending

Recovering the cluster picture of a polynomial over a discretely valued field

Lilybelle Cowland Kellock

arxiv:2410.17148 v2 · 2024-10-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FNDSWCDIULMLC7EO7PKIUXJVT}

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

Invariants recovering the reduction type of a hyperelliptic curve

Receipt and verification

First computed	2026-07-05T10:28:24.834706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15a3958434516c58be477dea452e9acc26c6aaba00cc8b51555a2861c09a203

Aliases

arxiv: 2410.17148 · arxiv_version: 2410.17148v2 · doi: 10.48550/arxiv.2410.17148 · pith_short_12: 6FNDSWCDIULM · pith_short_16: 6FNDSWCDIULMLC7E · pith_short_8: 6FNDSWCD

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/6FNDSWCDIULMLC7EO7PKIUXJVT \
  | 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: f15a3958434516c58be477dea452e9acc26c6aaba00cc8b51555a2861c09a203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7f8217205db766f7c549ec226812e46f7193b7ae5aed6e219de640a5dd926d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-22T16:27:31Z",
    "title_canon_sha256": "c3ea2349be4f97f44293f4a38fc946fc91473234b5a0a525bb76ab10a6c98fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17148",
    "kind": "arxiv",
    "version": 2
  }
}