Pith Number

pith:U6UZ5WWR

pith:2018:U6UZ5WWRUMGD2EJXXNMNP7QLFO

not attested not anchored not stored refs pending

Deterministic Factorization of Sparse Polynomials with Bounded Individual Degree

Ilya Volkovich, Shubhangi Saraf, Vishwas Bhargava

arxiv:1808.06655 v1 · 2018-08-20 · math.AC · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6UZ5WWRUMGD2EJXXNMNP7QLFO}

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	2026-05-18T00:07:39.503402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a99edad1a30c3d1137bb58d7fe0b2baf4c30f8693682f14d1a96a0c770509b

Aliases

arxiv: 1808.06655 · arxiv_version: 1808.06655v1 · doi: 10.48550/arxiv.1808.06655 · pith_short_12: U6UZ5WWRUMGD · pith_short_16: U6UZ5WWRUMGD2EJX · pith_short_8: U6UZ5WWR

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/U6UZ5WWRUMGD2EJXXNMNP7QLFO \
  | 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: a7a99edad1a30c3d1137bb58d7fe0b2baf4c30f8693682f14d1a96a0c770509b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2809601800fd00927407c1d07a8dbf738e2239fd286574e27f652b9c89b4f877",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-20T19:10:39Z",
    "title_canon_sha256": "a4836ea715abb3262255f00dcd79e9528894c9e1a29d03ab4fa8777991fd0153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06655",
    "kind": "arxiv",
    "version": 1
  }
}