Pith Number

pith:UCDWDW4B

pith:2023:UCDWDW4BQIWZIREKGADCUCFGXG

not attested not anchored not stored refs pending

Functional degrees and arithmetic applications II: The Group-Theoretic Prime Ax-Katz Theorem

Pete L. Clark, Uwe Schauz

arxiv:2305.01304 v1 · 2023-05-02 · math.GR · 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{UCDWDW4BQIWZIREKGADCUCFGXG}

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	2026-07-05T06:06:24.191855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08761db81822d94448a30062a08a6b9a1c001d089f5f7158c0b9ddf22e4d09c

Aliases

arxiv: 2305.01304 · arxiv_version: 2305.01304v1 · doi: 10.48550/arxiv.2305.01304 · pith_short_12: UCDWDW4BQIWZ · pith_short_16: UCDWDW4BQIWZIREK · pith_short_8: UCDWDW4B

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/UCDWDW4BQIWZIREKGADCUCFGXG \
  | 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: a08761db81822d94448a30062a08a6b9a1c001d089f5f7158c0b9ddf22e4d09c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc7b27d4d1529c6046824ce75ad94b3690f71c4121dc0824484c39c3bbf92e5",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-05-02T10:29:13Z",
    "title_canon_sha256": "e75fdfd0db33e5e60e309848474751c081b4803dfd47fada1c1eed83e5bfa377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.01304",
    "kind": "arxiv",
    "version": 1
  }
}