Pith Number

pith:6IE2HEKC

pith:2014:6IE2HEKCQWZPWDRCUJLVKYES2E

not attested not anchored not stored refs pending

Factors of Sparse Polynomials are Sparse

Rafael Mendes de Oliveira, Zeev Dvir

arxiv:1404.4834 v2 · 2014-04-18 · cs.CC · cs.DM · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IE2HEKCQWZPWDRCUJLVKYES2E}

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	2026-05-18T02:45:39.827831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f209a3914285b2fb0e22a257556092d10726af1b8dcbb9f521064dce3a5c39d5

Aliases

arxiv: 1404.4834 · arxiv_version: 1404.4834v2 · doi: 10.48550/arxiv.1404.4834 · pith_short_12: 6IE2HEKCQWZP · pith_short_16: 6IE2HEKCQWZPWDRC · pith_short_8: 6IE2HEKC

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/6IE2HEKCQWZPWDRCUJLVKYES2E \
  | 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: f209a3914285b2fb0e22a257556092d10726af1b8dcbb9f521064dce3a5c39d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed35832cf7e570db8971f8635b0c6978ecf80d5c1b73d5795e7a1469970a0861",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-04-18T16:25:38Z",
    "title_canon_sha256": "18d5340e3a3e4f3f5d43acdad9ce252d7bbf9704838dc008dc4bd299f5e4bf9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4834",
    "kind": "arxiv",
    "version": 2
  }
}