Pith Number

pith:MAPJLNJS

pith:2025:MAPJLNJS4GU2WK7LLQUKY2BXXJ

not attested not anchored not stored refs pending

Gradient-Weighted, Data-Driven Normalization for Approximate Border Bases -- Concept and Computation

Achim Kehrein, Hiroshi Kera

arxiv:2506.09529 v1 · 2025-06-11 · cs.SC · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAPJLNJS4GU2WK7LLQUKY2BXXJ}

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	2026-07-05T11:19:38.832221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

601e95b532e1a9ab2beb5c28ac6837ba673115c702c93d10ca36fb9b6c12b2f6

Aliases

arxiv: 2506.09529 · arxiv_version: 2506.09529v1 · doi: 10.48550/arxiv.2506.09529 · pith_short_12: MAPJLNJS4GU2 · pith_short_16: MAPJLNJS4GU2WK7L · pith_short_8: MAPJLNJS

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/MAPJLNJS4GU2WK7LLQUKY2BXXJ \
  | 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: 601e95b532e1a9ab2beb5c28ac6837ba673115c702c93d10ca36fb9b6c12b2f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d423fe1d03216b42b4078ec72e7f50fa3a133b48b2367b763191b3d18376e4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2025-06-11T08:57:45Z",
    "title_canon_sha256": "999eeb2340f564e5abc02ae7153f69ab45b32285687115539d0e276190ea52ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09529",
    "kind": "arxiv",
    "version": 1
  }
}