Pith Number

pith:R7NZMIDH

pith:2011:R7NZMIDHT67G57WLLAKMXDSXFP

not attested not anchored not stored refs pending

Kunz Regularity Criterion via algebraic entropy

Lucien Szpiro, Mahdi Majidi-Zolbanin, Nikita Miasnikov

arxiv:1110.3427 v1 · 2011-10-15 · math.AC · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7NZMIDHT67G57WLLAKMXDSXFP}

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	2026-05-18T04:10:55.795817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fdb9620679fbe6efecb5814cb8e572bc865163a9d9d3cf87bcf6c88c39e5035

Aliases

arxiv: 1110.3427 · arxiv_version: 1110.3427v1 · doi: 10.48550/arxiv.1110.3427 · pith_short_12: R7NZMIDHT67G · pith_short_16: R7NZMIDHT67G57WL · pith_short_8: R7NZMIDH

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/R7NZMIDHT67G57WLLAKMXDSXFP \
  | 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: 8fdb9620679fbe6efecb5814cb8e572bc865163a9d9d3cf87bcf6c88c39e5035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00afcfa7272976bde934f5e1a0f5faa682e214f5d14205e9506bd6688330b121",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-15T17:31:18Z",
    "title_canon_sha256": "a4754ced493477e95277186fa81560a3665c6dac0c749d2b4fd96b8783a62818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3427",
    "kind": "arxiv",
    "version": 1
  }
}