Pith Number

pith:53OS2SUW

pith:2019:53OS2SUWLUIUS7QMH46USSKK7O

not attested not anchored not stored refs pending

Invariants of polynomials mod Frobenius powers

A. V. Shepler, C. Drescher

arxiv:1908.05259 v2 · 2019-08-14 · math.CO · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53OS2SUWLUIUS7QMH46USSKK7O}

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	2026-07-05T00:55:58.431562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eedd2d4a965d11497e0c3f3d49494afb813245e921ed7ffd48e423890b55e7a3

Aliases

arxiv: 1908.05259 · arxiv_version: 1908.05259v2 · doi: 10.48550/arxiv.1908.05259 · pith_short_12: 53OS2SUWLUIU · pith_short_16: 53OS2SUWLUIUS7QM · pith_short_8: 53OS2SUW

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/53OS2SUWLUIUS7QMH46USSKK7O \
  | 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: eedd2d4a965d11497e0c3f3d49494afb813245e921ed7ffd48e423890b55e7a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4dbaf8efbb0fae8506e1854f37e7d797d603b35f7fdd589aa0e0529c0e0860f",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-14T17:37:40Z",
    "title_canon_sha256": "493ebadf4be9db382a7d3d496d45cec0f1ec4cef3a2aaa3f6716cc4801d2a553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05259",
    "kind": "arxiv",
    "version": 2
  }
}