Pith Number

pith:ZH3CXTY4

pith:2017:ZH3CXTY4H6G65BPWQ3NUCRLRAR

not attested not anchored not stored refs pending

Counting Roots of Polynomials over $\mathbb{Z}/p^2\mathbb{Z}$

Angela Patini, Jeremy Johnson, Robert M. Walker, Trajan Hammonds

arxiv:1708.04713 v2 · 2017-08-15 · math.NT · cs.CC · cs.SC · 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{ZH3CXTY4H6G65BPWQ3NUCRLRAR}

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	2026-05-18T00:00:09.157656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f62bcf1c3f8dee85f686db414571047d99850e3e4e088c04ec7a78bd6dabbb

Aliases

arxiv: 1708.04713 · arxiv_version: 1708.04713v2 · doi: 10.48550/arxiv.1708.04713 · pith_short_12: ZH3CXTY4H6G6 · pith_short_16: ZH3CXTY4H6G65BPW · pith_short_8: ZH3CXTY4

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/ZH3CXTY4H6G65BPWQ3NUCRLRAR \
  | 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: c9f62bcf1c3f8dee85f686db414571047d99850e3e4e088c04ec7a78bd6dabbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0e5d36944edbedd17c115952d9098f50df6d87d20392d28d7ac7ecfda819436",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.SC",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-15T22:58:59Z",
    "title_canon_sha256": "5636d140516cc3fd3f16e4f2b1c4de78107e8f6cd47d5e02a15a182055ae9541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04713",
    "kind": "arxiv",
    "version": 2
  }
}