Pith Number

pith:7AZPZIDZ

pith:2018:7AZPZIDZXHEC5VHBO6ZFDLQA4U

not attested not anchored not stored refs pending

Randomized Polynomial-Time Root Counting in Prime Power Rings

J. Maurice Rojas, Leann Kopp, Natalie Randall, Yuyu Zhu

arxiv:1808.10531 v2 · 2018-08-30 · math.NT · cs.CC · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AZPZIDZXHEC5VHBO6ZFDLQA4U}

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	2026-05-17T23:53:57.533709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f832fca079b9c82ed4e177b251ae00e53e31447a2649a166b082a03b90550865

Aliases

arxiv: 1808.10531 · arxiv_version: 1808.10531v2 · doi: 10.48550/arxiv.1808.10531 · pith_short_12: 7AZPZIDZXHEC · pith_short_16: 7AZPZIDZXHEC5VHB · pith_short_8: 7AZPZIDZ

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/7AZPZIDZXHEC5VHBO6ZFDLQA4U \
  | 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: f832fca079b9c82ed4e177b251ae00e53e31447a2649a166b082a03b90550865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a86928ced4649c809e763baf634171a7dee9573f9f8634c2efd5d0fff1d6ff8",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-30T21:50:17Z",
    "title_canon_sha256": "805ac09ccc0f104b156effc19bf54a1357551a999cb41b0266b8ffcbd7c8d7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10531",
    "kind": "arxiv",
    "version": 2
  }
}