Pith Number

pith:GWYQB2SP

pith:2017:GWYQB2SPBA4NLTJZEXCAUHKMAF

not attested not anchored not stored refs pending

Explicit bounds for composite lacunary polynomials

Christina Karolus

arxiv:1704.04292 v2 · 2017-04-13 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWYQB2SPBA4NLTJZEXCAUHKMAF}

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	2026-05-18T00:30:22.238112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b100ea4f0838d5cd3925c40a1d4c01567ddb870f5759c89b0f832b21780755

Aliases

arxiv: 1704.04292 · arxiv_version: 1704.04292v2 · doi: 10.48550/arxiv.1704.04292 · pith_short_12: GWYQB2SPBA4N · pith_short_16: GWYQB2SPBA4NLTJZ · pith_short_8: GWYQB2SP

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/GWYQB2SPBA4NLTJZEXCAUHKMAF \
  | 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: 35b100ea4f0838d5cd3925c40a1d4c01567ddb870f5759c89b0f832b21780755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac6cdff1cd3be2223d942d33388d23dcefd9834cfa2c417a81c19b536d72de8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-13T22:26:11Z",
    "title_canon_sha256": "7ffbf736a0143bc2b841d180e1a0b683f32f0dd4c6a229bdbbfa58e222fc33da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04292",
    "kind": "arxiv",
    "version": 2
  }
}