Pith Number

pith:DUYR5VAW

pith:2026:DUYR5VAWGBYUDX6T7GRWRPJUEK

not attested not anchored not stored refs pending

Power-Saving Bounds For Monic Minkowski Polynomials

Seamus Lavine

arxiv:2606.30690 v1 · 2026-06-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUYR5VAWGBYUDX6T7GRWRPJUEK}

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	2026-07-01T00:17:13.609130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d311ed416307141dfd3f9a368bd3422a4722128f8475d548edc723bee314ad2

Aliases

arxiv: 2606.30690 · arxiv_version: 2606.30690v1 · doi: 10.48550/arxiv.2606.30690 · pith_short_12: DUYR5VAWGBYU · pith_short_16: DUYR5VAWGBYUDX6T · pith_short_8: DUYR5VAW

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/DUYR5VAWGBYUDX6T7GRWRPJUEK \
  | 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: 1d311ed416307141dfd3f9a368bd3422a4722128f8475d548edc723bee314ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fc7bde01370da07f477855558e01e3ff3ccc65cb1fac1e5a59a8d16a749e67",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-28T20:32:23Z",
    "title_canon_sha256": "791a15ef590abb7e3d98fbda7ec96865f2fc4c04914f57b539c9db4684eb886b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30690",
    "kind": "arxiv",
    "version": 1
  }
}