Pith Number

pith:BWKFHY4W

pith:2025:BWKFHY4WKCQYYPB4YMH75PEF2E

not attested not anchored not stored refs pending

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions

Chang-An Zhao, Huachao Zhang

arxiv:2505.23274 v1 · 2025-05-29 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWKFHY4WKCQYYPB4YMH75PEF2E}

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	2026-07-05T11:11:58.717158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d9453e39650a18c3c3cc30ffebc85d1051c999a1b761ac7e611f936f4406e7b

Aliases

arxiv: 2505.23274 · arxiv_version: 2505.23274v1 · doi: 10.48550/arxiv.2505.23274 · pith_short_12: BWKFHY4WKCQY · pith_short_16: BWKFHY4WKCQYYPB4 · pith_short_8: BWKFHY4W

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/BWKFHY4WKCQYYPB4YMH75PEF2E \
  | 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: 0d9453e39650a18c3c3cc30ffebc85d1051c999a1b761ac7e611f936f4406e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57fe6f0444981b22afe3e6a4d56da751d4f3b40dd591448a2df075fc21f064af",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-05-29T09:23:07Z",
    "title_canon_sha256": "a268fbf43e140191009c0fec634a9b34ee9077263faf3886bf2cb7b5475705d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23274",
    "kind": "arxiv",
    "version": 1
  }
}