Pith Number

pith:PUYMG3BO

pith:2015:PUYMG3BOTT6TZK6JLS4L4TZQHY

not attested not anchored not stored refs pending

Lacunaryx: Computing bounded-degree factors of lacunary polynomials

Bruno Grenet

arxiv:1506.03726 v2 · 2015-06-11 · cs.MS · 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{PUYMG3BOTT6TZK6JLS4L4TZQHY}

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	2026-05-18T01:20:26.154690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d30c36c2e9cfd3cabc95cb8be4f303e1a7ac8dc408a90b98e88f0151692e03c

Aliases

arxiv: 1506.03726 · arxiv_version: 1506.03726v2 · doi: 10.48550/arxiv.1506.03726 · pith_short_12: PUYMG3BOTT6T · pith_short_16: PUYMG3BOTT6TZK6J · pith_short_8: PUYMG3BO

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/PUYMG3BOTT6TZK6JLS4L4TZQHY \
  | 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: 7d30c36c2e9cfd3cabc95cb8be4f303e1a7ac8dc408a90b98e88f0151692e03c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d60a3da24c917e3d6f23489f5b0b112fe1265b8c38c2a51244f15bdb7e8dacc",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2015-06-11T16:08:54Z",
    "title_canon_sha256": "3e068ccc57b017aa24a866c125a40fd44780bb969c6941b4db5a1ad2aeb2c536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03726",
    "kind": "arxiv",
    "version": 2
  }
}