Pith Number

pith:DJY7OAJQ

pith:2025:DJY7OAJQETPMEQW5LEVHHOBW43

not attested not anchored not stored refs pending

Galois groups of polynomials and neurosymbolic networks

Elira Shaska, Tony Shaska

arxiv:2501.12978 v1 · 2025-01-22 · cs.LG · cs.AI · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJY7OAJQETPMEQW5LEVHHOBW43}

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	2026-07-05T10:04:01.231557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a71f7013024dec242dd592a73b836e6df18a1cf730ff7c0ce5e6b66cb0aa75f

Aliases

arxiv: 2501.12978 · arxiv_version: 2501.12978v1 · doi: 10.48550/arxiv.2501.12978 · pith_short_12: DJY7OAJQETPM · pith_short_16: DJY7OAJQETPMEQW5 · pith_short_8: DJY7OAJQ

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/DJY7OAJQETPMEQW5LEVHHOBW43 \
  | 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: 1a71f7013024dec242dd592a73b836e6df18a1cf730ff7c0ce5e6b66cb0aa75f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb02c531314f333ceddeb6956a6a75030353e55ad6f26a9b90f50803557fdea",
    "cross_cats_sorted": [
      "cs.AI",
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-22T16:05:59Z",
    "title_canon_sha256": "82d048f9607357499f8acd26862947d22b7ce89b2b2c642f89771caa5c90f292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12978",
    "kind": "arxiv",
    "version": 1
  }
}