Pith Number

pith:6FPTYG3P

pith:2014:6FPTYG3PDLC4UE6W7G7ZKM3DKW

not attested not anchored not stored refs pending

Bounded-degree factors of lacunary multivariate polynomials

Bruno Grenet

arxiv:1412.3570 v2 · 2014-12-11 · cs.SC · cs.CC · cs.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{6FPTYG3PDLC4UE6W7G7ZKM3DKW}

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	2026-05-18T01:21:41.891648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15f3c1b6f1ac5ca13d6f9bf9533635583d045cfa087536ff4875794fc3ffa51

Aliases

arxiv: 1412.3570 · arxiv_version: 1412.3570v2 · doi: 10.48550/arxiv.1412.3570 · pith_short_12: 6FPTYG3PDLC4 · pith_short_16: 6FPTYG3PDLC4UE6W · pith_short_8: 6FPTYG3P

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/6FPTYG3PDLC4UE6W7G7ZKM3DKW \
  | 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: f15f3c1b6f1ac5ca13d6f9bf9533635583d045cfa087536ff4875794fc3ffa51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cdb2ef4c584d3d31202e6162118939a630d97d0d4bccdef2170016b159d84d9",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2014-12-11T08:41:03Z",
    "title_canon_sha256": "05104aeca1277e4bfdf0cb68aa10bad7877939d9e6d0be01a12cd3f865a524bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3570",
    "kind": "arxiv",
    "version": 2
  }
}