Pith Number

pith:YDDUUR5H

pith:2014:YDDUUR5HWIHG3U6IOABK4GKVIT

not attested not anchored not stored refs pending

Sparse Univariate Polynomials with Many Roots Over Finite Fields

Daqing Wan, J. Maurice Rojas, Qi Cheng, Shuhong Gao

arxiv:1411.6346 v3 · 2014-11-24 · math.NT · 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{YDDUUR5HWIHG3U6IOABK4GKVIT}

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	2026-05-18T01:11:27.548198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c74a47a7b20e6dd3c87002ae195544d5092581856982e3ee0949cd3760e914

Aliases

arxiv: 1411.6346 · arxiv_version: 1411.6346v3 · doi: 10.48550/arxiv.1411.6346 · pith_short_12: YDDUUR5HWIHG · pith_short_16: YDDUUR5HWIHG3U6I · pith_short_8: YDDUUR5H

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/YDDUUR5HWIHG3U6IOABK4GKVIT \
  | 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: c0c74a47a7b20e6dd3c87002ae195544d5092581856982e3ee0949cd3760e914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad1f4d7366625c35d36fab73e0a365347eaa24fb50f775278cbf83857b7d690",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-24T04:20:25Z",
    "title_canon_sha256": "b994391b1ede25a3731ab4bdc6bf66fbaebe26f2442ddc1d0c42d7b624974c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6346",
    "kind": "arxiv",
    "version": 3
  }
}